Pub Date : 2026-02-01DOI: 10.1016/j.nuclphysb.2026.117327
Yuxuan Shi , A.A. Araújo Filho
We investigate how the newly obtained static black hole in bumblebee gravity affects the behavior of accreting matter and its observable signatures. The Lorentz–violating parameter that characterizes this geometry modifies photon trajectories and shifts the location of the critical curve that defines the shadow. Using ray tracing, we examine light deflection, the structure of direct emission, lensing rings, and photon rings, and we explore three thin–disk emission models–starting at the ISCO, at the photon sphere, and at the event horizon–together with static and infalling spherical accretions. Larger values of this parameter enlarge the shadow, move all optical features outward, and suppress the observed intensity through gravitational redshift, with additional dimming produced by Doppler effects for infalling matter.
{"title":"Accretion of matter of a new bumblebee black hole","authors":"Yuxuan Shi , A.A. Araújo Filho","doi":"10.1016/j.nuclphysb.2026.117327","DOIUrl":"10.1016/j.nuclphysb.2026.117327","url":null,"abstract":"<div><div>We investigate how the newly obtained static black hole in bumblebee gravity affects the behavior of accreting matter and its observable signatures. The Lorentz–violating parameter that characterizes this geometry modifies photon trajectories and shifts the location of the critical curve that defines the shadow. Using ray tracing, we examine light deflection, the structure of direct emission, lensing rings, and photon rings, and we explore three thin–disk emission models–starting at the ISCO, at the photon sphere, and at the event horizon–together with static and infalling spherical accretions. Larger values of this parameter enlarge the shadow, move all optical features outward, and suppress the observed intensity through gravitational redshift, with additional dimming produced by Doppler effects for infalling matter.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1023 ","pages":"Article 117327"},"PeriodicalIF":2.8,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146079040","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-01DOI: 10.1016/j.nuclphysb.2026.117324
Ansha S. Nair , R. Kumar , Saurabh Gupta
We accomplish the Batalin-Fradkin-Vilkovisky (BFV) quantization of the Christ-Lee model in both polar and Cartesian coordinates. We construct the BRST charge along with gauge-fixing function and obtain the BRST invariant effective action. We also procure the finite field-dependent BRST (FFBRST) symmetries of the model. Finally, we obtain a generalized action of the model with finite field-dependent parameter. Thus, we bridge the BFV-BRST gauge-fixed action and the gauge-invariant classical action of the model using FFBRST transformations.
{"title":"BFV quantization and FFBRST of Christ-Lee model","authors":"Ansha S. Nair , R. Kumar , Saurabh Gupta","doi":"10.1016/j.nuclphysb.2026.117324","DOIUrl":"10.1016/j.nuclphysb.2026.117324","url":null,"abstract":"<div><div>We accomplish the Batalin-Fradkin-Vilkovisky (BFV) quantization of the Christ-Lee model in both polar and Cartesian coordinates. We construct the BRST charge along with gauge-fixing function and obtain the BRST invariant effective action. We also procure the finite field-dependent BRST (FFBRST) symmetries of the model. Finally, we obtain a generalized action of the model with finite field-dependent parameter. Thus, we bridge the BFV-BRST gauge-fixed action and the gauge-invariant classical action of the model using FFBRST transformations.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1023 ","pages":"Article 117324"},"PeriodicalIF":2.8,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146079213","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-24DOI: 10.1016/j.nuclphysb.2026.117320
S.K. Maurya , Sweeti Kiroriwal , Jitendra Kumar , Akram Ali , Y. Sekhmani
This article analyzes the anisotropic charged solutions for compact stars within the framework of extended symmetric teleparallel gravity, wherein anisotropy has been generated in compact stars via gravitational decoupling. The renowned Tolman-Finch-Skea solution and Buchdahl metric are utilized to derive two sets of solutions for a pure extended symmetric teleparallel gravity, specifically within the context of pure f(Q, T) gravity. Meanwhile, the decoupled system is addressed using the Einasto spike dark matter density profile, which introduces anisotropy into the system. We evaluate the viability of modeling charge-dark matter compact stars with the Einasto spike density profile. Within this paradigm, we delineate the temporal aspect of the -field sector to accurately quantify the impact of dark matter on the gravitational matter source. An detailed graphical examination of the structural factors and stability demonstrates that both models, given the selected parameters, yield well-behaved and physically consistent results. The findings of this investigation are both feasible and commendable, offering significant insights. The equilibrium of forces, derived from the modified TOV equations, illustrates a stable balance among gravitational, electrostatic, and hydrostatic factors. The analysis encompassed the modeling of three distinct stellar candidates, incorporating their mass-radius relation constraints for GW190814 (2.5–2.67), (), and (2.13 ± 0.04).—utilizing observable astrophysical data, the corresponding radii were determined to fall within the range [9.7, 12.58] km. The mass-radius relationship indicates a maximum mass, with associated radii closely aligning with observational limits.
{"title":"Compact stars coupled with dark matter via decoupling process in extended symmetric teleparallel gravity: Mass-radius limit with observational data","authors":"S.K. Maurya , Sweeti Kiroriwal , Jitendra Kumar , Akram Ali , Y. Sekhmani","doi":"10.1016/j.nuclphysb.2026.117320","DOIUrl":"10.1016/j.nuclphysb.2026.117320","url":null,"abstract":"<div><div>This article analyzes the anisotropic charged solutions for compact stars within the framework of extended symmetric teleparallel gravity, wherein anisotropy has been generated in compact stars via gravitational decoupling. The renowned Tolman-Finch-Skea solution and Buchdahl metric are utilized to derive two sets of solutions for a pure extended symmetric teleparallel gravity, specifically within the context of pure <em>f</em>(<em>Q, T</em>) gravity. Meanwhile, the decoupled system is addressed using the Einasto spike dark matter density profile, which introduces anisotropy into the system. We evaluate the viability of modeling charge-dark matter compact stars with the Einasto spike density profile. Within this paradigm, we delineate the temporal aspect of the <span><math><msubsup><mstyle><mi>Θ</mi></mstyle><mn>0</mn><mn>0</mn></msubsup></math></span>-field sector to accurately quantify the impact of dark matter on the gravitational matter source. An detailed graphical examination of the structural factors and stability demonstrates that both models, given the selected parameters, yield well-behaved and physically consistent results. The findings of this investigation are both feasible and commendable, offering significant insights. The equilibrium of forces, derived from the modified TOV equations, illustrates a stable balance among gravitational, electrostatic, and hydrostatic factors. The analysis encompassed the modeling of three distinct stellar candidates, incorporating their mass-radius relation constraints for GW190814 (2.5–2.67), <span><math><mrow><mtext>PSR</mtext><mspace></mspace><mtext>J</mtext><mn>2215</mn><mo>+</mo><mn>5135</mn></mrow></math></span> (<span><math><mrow><mn>2</mn><mo>.</mo><msubsup><mn>28</mn><mrow><mo>−</mo><mn>0.09</mn></mrow><mrow><mo>+</mo><mn>0.10</mn></mrow></msubsup></mrow></math></span>), and <span><math><mrow><mtext>PSR</mtext><mspace></mspace><mtext>J</mtext><mn>1810</mn><mo>+</mo><mn>1744</mn></mrow></math></span> (2.13 ± 0.04).—utilizing observable astrophysical data, the corresponding radii were determined to fall within the range [9.7, 12.58] km. The mass-radius relationship indicates a maximum mass, with associated radii closely aligning with observational limits.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1024 ","pages":"Article 117320"},"PeriodicalIF":2.8,"publicationDate":"2026-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146102454","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-18DOI: 10.1016/j.nuclphysb.2026.117311
Y. Sekhmani , S.K. Maurya , J. Rayimbaev , M. Altanji , I. Ibragimov , S. Muminov
We investigate a wide range of dynamical and observational signatures of spherically symmetric static black holes in the non-local Deser-Woodard gravity model, distinguished by a non-local parameter α and an integer model order n. Starting from the modified metric functions, we derive the Klein–Gordon equation for a massless scalar field and transform it into a Schrödinger-like form using tortoise coordinates. We then compute the spectra of quasinormal modes (QNMs) employing both the sixth-order WKB approximation and its Padé-improved variants. We demonstrate that nonlocality systematically reduces the real frequencies of QNMs and increases damping. Additionally, we observe that the errors associated with the WKB approximation grow rapidly; however, the Padé method effectively reduces these errors to sub-percent levels. Next, we establish rigorous analytic lower bounds on greybody factors (GBFs) using the Visser–Boonserm method. This analysis demonstrates that an increase in either the parameter α or the integer model order n serves to elevate and expand the effective potential barrier, which in turn suppresses transmission at mid-frequency ranges. We quantified the sparsity of Hawking radiation by calculating the dimensionless sparsity parameter, η. Our findings indicate that nonlocal coupling, denoted by α, significantly reduces the value of η, which in turn accelerates the evaporation process. In contrast, higher values of n produce subtler effects. Notably, in all scenarios, we observe that η approaches ηSch as the horizon radius increases. Finally, we analyse the epicyclic (radial and vertical) oscillation frequencies of near-circular orbits, presenting them in a closed form and discussing their potential as probes for nonlocal corrections in quasi-periodic oscillations of accretion discs. Our findings underscore distinct, observationally testable signatures of nonlocal gravity on black hole spectroscopy, greybody emission, and the dynamics of accretion discs.
{"title":"Black hole quasinormal modes, greybody factors, sparsity of Hawking radiation and quasi-periodic oscillations in a tetrad-frame Deser–Woodard nonlocal gravity","authors":"Y. Sekhmani , S.K. Maurya , J. Rayimbaev , M. Altanji , I. Ibragimov , S. Muminov","doi":"10.1016/j.nuclphysb.2026.117311","DOIUrl":"10.1016/j.nuclphysb.2026.117311","url":null,"abstract":"<div><div>We investigate a wide range of dynamical and observational signatures of spherically symmetric static black holes in the non-local Deser-Woodard gravity model, distinguished by a non-local parameter <em>α</em> and an integer model order <em>n</em>. Starting from the modified metric functions, we derive the Klein–Gordon equation for a massless scalar field and transform it into a Schrödinger-like form using tortoise coordinates. We then compute the spectra of quasinormal modes (QNMs) employing both the sixth-order WKB approximation and its Padé-improved variants. We demonstrate that nonlocality systematically reduces the real frequencies of QNMs and increases damping. Additionally, we observe that the errors associated with the WKB approximation grow rapidly; however, the Padé method effectively reduces these errors to sub-percent levels. Next, we establish rigorous analytic lower bounds on greybody factors (GBFs) using the Visser–Boonserm method. This analysis demonstrates that an increase in either the parameter <em>α</em> or the integer model order <em>n</em> serves to elevate and expand the effective potential barrier, which in turn suppresses transmission at mid-frequency ranges. We quantified the sparsity of Hawking radiation by calculating the dimensionless sparsity parameter, <em>η</em>. Our findings indicate that nonlocal coupling, denoted by <em>α</em>, significantly reduces the value of <em>η</em>, which in turn accelerates the evaporation process. In contrast, higher values of <em>n</em> produce subtler effects. Notably, in all scenarios, we observe that <em>η</em> approaches <em>η<sub>Sch</sub></em> as the horizon radius increases. Finally, we analyse the epicyclic (radial and vertical) oscillation frequencies of near-circular orbits, presenting them in a closed form and discussing their potential as probes for nonlocal corrections in quasi-periodic oscillations of accretion discs. Our findings underscore distinct, observationally testable signatures of nonlocal gravity on black hole spectroscopy, greybody emission, and the dynamics of accretion discs.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1023 ","pages":"Article 117311"},"PeriodicalIF":2.8,"publicationDate":"2026-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146038297","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-17DOI: 10.1016/j.nuclphysb.2026.117314
Boris Eremin , Sergej Parkhomenko
We generalize the explicit construction of fields in orbifolds of products of minimal models, developed by A. Belavin, V. Belavin and S. Parkhomenko to include minimal models with D and E-type modular invariants. It is shown that spectral flow twisting by the elements of admissible group Gadm, which is used in the construction of the orbifold, is consistent with the nondiagonal pairing of D and E-type minimal models. We obtain the complete set of fields of the orbifold from the mutual locality and other requirements of the conformal bootstrap. The collection of mutually local primary fields is labeled by the elements of dual group . The permutation of Gadm and is given by the mirror spectral flow construction of the fields and maps the space of states of the original Gadm orbifold onto the space of states of orbifold. We show that this transformation is by construction a mirror isomorphism of spaces of states. Thus, mirror isomorphism of states is built into the construction. We illustrate our approach for the orbifolds of model.
推广了A. Belavin， V. Belavin和S. Parkhomenko提出的N=(2,2)极小模型积的轨道上的显式构造，使其包含了D型和e型模不变量的极小模型。结果表明，用于构造轨道的可容许群Gadm元的谱流扭转与D型和e型最小模型的非对角配对是一致的。我们从共形自举的互局部性和其他条件中得到了轨道的场的完备集。互局部主域的集合用对偶群Gadm*中的元素来标记。通过场的镜像谱流构造给出了Gadm和Gadm*的排列，并将原Gadm轨道的状态空间映射到Gadm*轨道的状态空间上。我们通过构造状态空间的镜像同构来证明这个变换。因此，状态的镜像同构被构建到结构中。我们用A2E73模型的轨道来说明我们的方法。
{"title":"Explicit construction of states in orbifolds of products of N=2 superconformal ADE minimal models","authors":"Boris Eremin , Sergej Parkhomenko","doi":"10.1016/j.nuclphysb.2026.117314","DOIUrl":"10.1016/j.nuclphysb.2026.117314","url":null,"abstract":"<div><div>We generalize the explicit construction of fields in orbifolds of products of <span><math><mrow><mi>N</mi><mo>=</mo><mo>(</mo><mn>2</mn><mo>,</mo><mn>2</mn><mo>)</mo></mrow></math></span> minimal models, developed by A. Belavin, V. Belavin and S. Parkhomenko to include minimal models with D and E-type modular invariants. It is shown that spectral flow twisting by the elements of admissible group <em>G</em><sub>adm</sub>, which is used in the construction of the orbifold, is consistent with the nondiagonal pairing of D and E-type minimal models. We obtain the complete set of fields of the orbifold from the mutual locality and other requirements of the conformal bootstrap. The collection of mutually local primary fields is labeled by the elements of dual group <span><math><msubsup><mi>G</mi><mtext>adm</mtext><mo>*</mo></msubsup></math></span>. The permutation of <em>G</em><sub>adm</sub> and <span><math><msubsup><mi>G</mi><mtext>adm</mtext><mo>*</mo></msubsup></math></span> is given by the mirror spectral flow construction of the fields and maps the space of states of the original <em>G</em><sub>adm</sub> orbifold onto the space of states of <span><math><msubsup><mi>G</mi><mtext>adm</mtext><mo>*</mo></msubsup></math></span> orbifold. We show that this transformation is by construction a mirror isomorphism of spaces of states. Thus, mirror isomorphism of states is built into the construction. We illustrate our approach for the orbifolds of <span><math><mrow><msub><mi>A</mi><mn>2</mn></msub><msubsup><mi>E</mi><mn>7</mn><mn>3</mn></msubsup></mrow></math></span> model.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1023 ","pages":"Article 117314"},"PeriodicalIF":2.8,"publicationDate":"2026-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146038853","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-16DOI: 10.1016/j.nuclphysb.2026.117312
Z. Yousaf , Kazuharu Bamba , Mansoor Alshehri , S. Khan , M.Z. Bhatti
This work employs the minimal geometric deformation decoupling scheme to derive interior stellar solutions in the background of an electrically charged BTZ ansatz as a seed metric in three dimensions. In this respect, we impose two different equations of state to determine the deformation function and the new material contributions emerging from the additional field source. Furthermore, we describe the finiteness of all thermodynamic quantities of the presented stellar solutions, including the effective thermodynamical quantities, for varying values of the deformation parameter and total electric charge. We explore the new interior astrophysical solutions in three-dimensional gravity by analyzing the charged BTZ metric, admitting circular symmetry through the principles of geometric deformation. This study examines the impact of radial-metric deformation on the charged BTZ geometry and underscores the importance of stellar decoupling within the context of electrically charged dense distributions. It is shown that new physically acceptable solutions by incorporating any known three-dimensional spacetime as the isotropic basis are possible, which in turn enable one to analyze the quantum effects due to low degrees of freedom at lower dimensions.
{"title":"Physical features of geometrically deformed anisotropic charged three-dimensional BTZ black holes","authors":"Z. Yousaf , Kazuharu Bamba , Mansoor Alshehri , S. Khan , M.Z. Bhatti","doi":"10.1016/j.nuclphysb.2026.117312","DOIUrl":"10.1016/j.nuclphysb.2026.117312","url":null,"abstract":"<div><div>This work employs the minimal geometric deformation decoupling scheme to derive interior stellar solutions in the background of an electrically charged BTZ ansatz as a seed metric in three dimensions. In this respect, we impose two different equations of state to determine the deformation function and the new material contributions emerging from the additional field source. Furthermore, we describe the finiteness of all thermodynamic quantities of the presented stellar solutions, including the effective thermodynamical quantities, for varying values of the deformation parameter and total electric charge. We explore the new interior astrophysical solutions in three-dimensional gravity by analyzing the charged BTZ metric, admitting circular symmetry through the principles of geometric deformation. This study examines the impact of radial-metric deformation on the charged BTZ geometry and underscores the importance of stellar decoupling within the context of electrically charged dense distributions. It is shown that new physically acceptable solutions by incorporating any known three-dimensional spacetime as the isotropic basis are possible, which in turn enable one to analyze the quantum effects due to low degrees of freedom at lower dimensions.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1023 ","pages":"Article 117312"},"PeriodicalIF":2.8,"publicationDate":"2026-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146038848","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-15DOI: 10.1016/j.nuclphysb.2026.117309
Gamal G.L. Nashed , Salvatore Capozziello
We investigate exact charged and uncharged black hole solutions in a (2+1)-dimensional spacetime within the framework of quadratic form of symmetric teleparallel gravity, where is the non-metricity scalar. By adopting spherical symmetry and considering both vanishing and non-vanishing electromagnetic fields, we derive new classes of black hole solutions and analyze their geometric and physical properties. The study demonstrates that the inclusion of quadratic corrections in the gravitational Lagrangian significantly modifies the structure of solutions, producing deviations from the standard BTZ geometry. Invariants such as curvature and non-metricity scalars are calculated to classify the singularity structure and spacetime behavior. Thermodynamic quantities, including Hawking temperature, entropy, and heat capacity, are computed, showing consistency with the first law of black hole thermodynamics. Furthermore, we examine the geodesic motion of test particles and derive the effective potential to explore the stability of photon orbits. A notable outcome is the identification of weaker black hole singularities in comparison to General Relativity, attributed to the non-metricity corrections. The possibility of multi-horizon configurations is also explored. This study provides a comprehensive analysis of the gravitational, thermodynamic, and dynamical features of lower-dimensional black holes in gravity and highlights their distinct characteristics with respect to General Relativity.
{"title":"Stable black holes in lower dimensional f(Q) non-metric gravity","authors":"Gamal G.L. Nashed , Salvatore Capozziello","doi":"10.1016/j.nuclphysb.2026.117309","DOIUrl":"10.1016/j.nuclphysb.2026.117309","url":null,"abstract":"<div><div>We investigate exact charged and uncharged black hole solutions in a (2+1)-dimensional spacetime within the framework of quadratic form of <span><math><mrow><mi>f</mi><mo>(</mo><mi>Q</mi><mo>)</mo></mrow></math></span> symmetric teleparallel gravity, where <span><math><mi>Q</mi></math></span> is the non-metricity scalar. By adopting spherical symmetry and considering both vanishing and non-vanishing electromagnetic fields, we derive new classes of black hole solutions and analyze their geometric and physical properties. The study demonstrates that the inclusion of quadratic corrections in the gravitational Lagrangian significantly modifies the structure of solutions, producing deviations from the standard BTZ geometry. Invariants such as curvature and non-metricity scalars are calculated to classify the singularity structure and spacetime behavior. Thermodynamic quantities, including Hawking temperature, entropy, and heat capacity, are computed, showing consistency with the first law of black hole thermodynamics. Furthermore, we examine the geodesic motion of test particles and derive the effective potential to explore the stability of photon orbits. A notable outcome is the identification of weaker black hole singularities in comparison to General Relativity, attributed to the non-metricity corrections. The possibility of multi-horizon configurations is also explored. This study provides a comprehensive analysis of the gravitational, thermodynamic, and dynamical features of lower-dimensional black holes in <span><math><mrow><mi>f</mi><mo>(</mo><mi>Q</mi><mo>)</mo></mrow></math></span> gravity and highlights their distinct characteristics with respect to General Relativity.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1023 ","pages":"Article 117309"},"PeriodicalIF":2.8,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146038846","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We discuss in this paper the lattice discretizations of all topological defect lines (TDLs) for diagonal, minimal CFTs, using integrable restricted solid-on-solid (RSOS) models. For these CFTs, the TDLs can be labeled by the Kac labels. In the case of (1, s) TDLs, lines that are exactly topological on the lattice can be obtained using the centralizer of the underlying Temperley-Lieb algebra, all the other lines become topological in the continuum limit only. Our general construction relies on insertions of rows/columns of faces with modified spectral parameters, and can therefore be studied using integrability techniques. We determine the regions of spectral parameters realizing the different (r, s) TDLs, and in particular calculate analytically all the associated eigenvalues (and degeneracy factors). We also show how fusion of TDLs can be obtained from fusion hierarchies in the algebraic approach to the Bethe-ansatz. All our results are checked numerically in detail for several minimal CFTs.
{"title":"Integrability and lattice discretizations of all topological defect lines in minimal CFTs","authors":"Madhav Sinha , Thiago Silva Tavares , Ananda Roy , Hubert Saleur","doi":"10.1016/j.nuclphysb.2026.117308","DOIUrl":"10.1016/j.nuclphysb.2026.117308","url":null,"abstract":"<div><div>We discuss in this paper the lattice discretizations of all topological defect lines (TDLs) for diagonal, minimal CFTs, using integrable restricted solid-on-solid (RSOS) models. For these CFTs, the TDLs can be labeled by the Kac labels. In the case of (1, <em>s</em>) TDLs, lines that are exactly topological on the lattice can be obtained using the centralizer of the underlying Temperley-Lieb algebra, all the other lines become topological in the continuum limit only. Our general construction relies on insertions of rows/columns of faces with modified spectral parameters, and can therefore be studied using integrability techniques. We determine the regions of spectral parameters realizing the different (<em>r, s</em>) TDLs, and in particular calculate analytically all the associated eigenvalues (and degeneracy factors). We also show how fusion of TDLs can be obtained from fusion hierarchies in the algebraic approach to the Bethe-ansatz. All our results are checked numerically in detail for several minimal CFTs.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1023 ","pages":"Article 117308"},"PeriodicalIF":2.8,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146038850","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-15DOI: 10.1016/j.nuclphysb.2026.117299
Aniruddha Ghosh, Ujjal Debnath
In this work, we derive a new class of analytic black hole solutions within the framework of gravity, where the black hole is surrounded by an anisotropic fluid acting as the matter source. We consider both linear and nonlinear forms of the function , enabling a detailed exploration of how anisotropic pressures and different influence the spacetime structure. Furthermore, we derive the conditions on the coupling parameters (β1, β2, β3) under which the energy condition is satisfied. Utilising these constraints, we then investigate the thermodynamic behaviour of the resulting black hole solutions in the presence of various matter fields. An important outcome of this study is that the results obtained deviate from those predicted by standard General Relativity. It is also observed that these deviations depend explicitly on the interaction between the matter Lagrangian and the trace T of the energy-momentum tensor.
{"title":"The new black hole solution with anisotropic fluid in f(R,Lm,T) gravity: Thermodynamics","authors":"Aniruddha Ghosh, Ujjal Debnath","doi":"10.1016/j.nuclphysb.2026.117299","DOIUrl":"10.1016/j.nuclphysb.2026.117299","url":null,"abstract":"<div><div>In this work, we derive a new class of analytic black hole solutions within the framework of <span><math><mrow><mi>f</mi><mo>(</mo><mi>R</mi><mo>,</mo><msub><mi>L</mi><mi>m</mi></msub><mo>,</mo><mi>T</mi><mo>)</mo></mrow></math></span> gravity, where the black hole is surrounded by an anisotropic fluid acting as the matter source. We consider both linear and nonlinear forms of the function <span><math><mrow><mi>f</mi><mo>(</mo><mi>R</mi><mo>,</mo><msub><mi>L</mi><mi>m</mi></msub><mo>,</mo><mi>T</mi><mo>)</mo></mrow></math></span>, enabling a detailed exploration of how anisotropic pressures and different <span><math><mrow><mi>f</mi><mo>(</mo><mi>R</mi><mo>,</mo><msub><mi>L</mi><mi>m</mi></msub><mo>,</mo><mi>T</mi><mo>)</mo></mrow></math></span> influence the spacetime structure. Furthermore, we derive the conditions on the coupling parameters (<em>β</em><sub>1</sub>, <em>β</em><sub>2</sub>, <em>β</em><sub>3</sub>) under which the energy condition is satisfied. Utilising these constraints, we then investigate the thermodynamic behaviour of the resulting black hole solutions in the presence of various matter fields. An important outcome of this study is that the results obtained deviate from those predicted by standard General Relativity. It is also observed that these deviations depend explicitly on the interaction between the matter Lagrangian <span><math><msub><mi>L</mi><mi>m</mi></msub></math></span> and the trace <em>T</em> of the energy-momentum tensor.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1023 ","pages":"Article 117299"},"PeriodicalIF":2.8,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146038845","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-01-15DOI: 10.1016/j.nuclphysb.2026.117313
T. Skrypnyk
In the present paper we consider the usage of associative Yang-Baxter equations in the theory of classical and quantum ABCD algebras [1]. Classical and quantum associative analogs of the generalized Fredel-Maillet equations for ABCD tensors [2, 3] are found. Two classes of examples — rational and trigonometric — of classical and quantum ABCD tensors satisfying these equations are considered in details.
{"title":"On ABCD algebras and associative Yang-Baxter equations","authors":"T. Skrypnyk","doi":"10.1016/j.nuclphysb.2026.117313","DOIUrl":"10.1016/j.nuclphysb.2026.117313","url":null,"abstract":"<div><div>In the present paper we consider the usage of associative Yang-Baxter equations in the theory of classical and quantum <em>ABCD</em> algebras [1]. Classical and quantum associative analogs of the generalized Fredel-Maillet equations for <em>ABCD</em> tensors [2, 3] are found. Two classes of examples — rational and trigonometric — of classical and quantum <em>ABCD</em> tensors satisfying these equations are considered in details.</div></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":"1023 ","pages":"Article 117313"},"PeriodicalIF":2.8,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146038851","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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