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Emergence of new systematics for open charm production in high energy collisions
IF 5.4 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2025-04-08 DOI: 10.1007/JHEP04(2025)058
Peter Braun-Munzinger, Krzysztof Redlich, Natasha Sharma, Johanna Stachel

We present the production systematics of open charm hadron yields in high-energy collisions and their description based on the Statistical Hadronization Model of charm (SHMc). The rapidity density of D0, D+, D*+, ( {D}_s^{+} ) mesons and ( {Lambda}_c^{+} ) baryons in heavy ion and proton-proton collisions is analyzed for different collision energies and centralities. The SHMc is extended to open charm production in minimum-bias and high-multiplicity pp collisions. In this context, we use the link established in [1, 2], between the rapidity density of open charm hadron yields, dNi/dy, and the rapidity density of charm-anticharm quark pairs, ( d{N}_{coverline{c}}/ dy ). We demonstrate that, in pp, pA and AA collisions, dNi/dy scales in leading order with ( d{N}_{coverline{c}}/ deta ) and for open charm mesons, D0, D+ and D*+ the slope coefficient is quantified by the appropriate thermal density ratio calculated in the SHMc at the chiral crossover temperature, Tc = 156.5 MeV. The slope coefficient for ( d{N}_{Lambda_c^{+}}/ dy ) differs at Tc by a factor of 1.97 ± 0.14 which is attributed to missing charmed-baryon resonances in the PDG. It is also shown that dNi/dy exhibits power-law scaling with the charged-particle pseudo-rapidity density in high energy collisions and within uncertainties. Furthermore, presently available data on different ratios of open charm rapidity densities in high-energy collisions are independent of collision energy and system size, as expected in the SHMc.

{"title":"Emergence of new systematics for open charm production in high energy collisions","authors":"Peter Braun-Munzinger,&nbsp;Krzysztof Redlich,&nbsp;Natasha Sharma,&nbsp;Johanna Stachel","doi":"10.1007/JHEP04(2025)058","DOIUrl":"10.1007/JHEP04(2025)058","url":null,"abstract":"<p>We present the production systematics of open charm hadron yields in high-energy collisions and their description based on the Statistical Hadronization Model of charm (SHMc). The rapidity density of <i>D</i><sup>0</sup>, <i>D</i><sup>+</sup>, <i>D</i><sup>*+</sup>, <span>( {D}_s^{+} )</span> mesons and <span>( {Lambda}_c^{+} )</span> baryons in heavy ion and proton-proton collisions is analyzed for different collision energies and centralities. The SHMc is extended to open charm production in minimum-bias and high-multiplicity pp collisions. In this context, we use the link established in [1, 2], between the rapidity density of open charm hadron yields, <i>dN</i><sub><i>i</i></sub>/<i>dy</i>, and the rapidity density of charm-anticharm quark pairs, <span>( d{N}_{coverline{c}}/ dy )</span>. We demonstrate that, in pp, pA and AA collisions, <i>dN</i><sub><i>i</i></sub>/<i>dy</i> scales in leading order with <span>( d{N}_{coverline{c}}/ deta )</span> and for open charm mesons, <i>D</i><sup>0</sup>, <i>D</i><sup>+</sup> and <i>D</i><sup>*+</sup> the slope coefficient is quantified by the appropriate thermal density ratio calculated in the SHMc at the chiral crossover temperature, <i>T</i><sub><i>c</i></sub> = 156.5 MeV. The slope coefficient for <span>( d{N}_{Lambda_c^{+}}/ dy )</span> differs at <i>T</i><sub><i>c</i></sub> by a factor of 1.97 ± 0.14 which is attributed to missing charmed-baryon resonances in the PDG. It is also shown that <i>dN</i><sub><i>i</i></sub>/<i>dy</i> exhibits power-law scaling with the charged-particle pseudo-rapidity density in high energy collisions and within uncertainties. Furthermore, presently available data on different ratios of open charm rapidity densities in high-energy collisions are independent of collision energy and system size, as expected in the SHMc.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2025 4","pages":""},"PeriodicalIF":5.4,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP04(2025)058.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143821746","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Enhanced conformal BMS3 symmetries
IF 5.4 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2025-04-08 DOI: 10.1007/JHEP04(2025)054
Oscar Fuentealba, Iva Lovrekovic, David Tempo, Ricardo Troncoso

An enhanced version of the conformal BMS3 algebra is presented. It is shown to emerge from the asymptotic structure of an extension of conformal gravity in 3D by Pope and Townsend that consistently accommodates an additional spin-2 field, once it is endowed with a suitable set of boundary conditions. The canonical generators of the asymptotic symmetries then span a precise nonlinear W(2,2,2,2,1,1,1) algebra, whose central extensions and coefficients of the nonlinear terms are completely determined by the central charge of the Virasoro subalgebra. The wedge algebra corresponds to the conformal group in four dimensions SO(4, 2) and therefore, enhanced conformal BMS3 can also be regarded as an infinite-dimensional nonlinear extension of the AdS5 algebra with nontrivial central extensions. It is worth mentioning that our boundary conditions might be considered as a starting point in order to consistently incorporate either a finite or an infinite number of conformal higher spin fields.

{"title":"Enhanced conformal BMS3 symmetries","authors":"Oscar Fuentealba,&nbsp;Iva Lovrekovic,&nbsp;David Tempo,&nbsp;Ricardo Troncoso","doi":"10.1007/JHEP04(2025)054","DOIUrl":"10.1007/JHEP04(2025)054","url":null,"abstract":"<p>An enhanced version of the conformal BMS<sub>3</sub> algebra is presented. It is shown to emerge from the asymptotic structure of an extension of conformal gravity in 3D by Pope and Townsend that consistently accommodates an additional spin-2 field, once it is endowed with a suitable set of boundary conditions. The canonical generators of the asymptotic symmetries then span a precise nonlinear W<sub>(2<i>,</i>2<i>,</i>2<i>,</i>2<i>,</i>1<i>,</i>1<i>,</i>1)</sub> algebra, whose central extensions and coefficients of the nonlinear terms are completely determined by the central charge of the Virasoro subalgebra. The wedge algebra corresponds to the conformal group in four dimensions SO(4, 2) and therefore, enhanced conformal BMS<sub>3</sub> can also be regarded as an infinite-dimensional nonlinear extension of the AdS<sub>5</sub> algebra with nontrivial central extensions. It is worth mentioning that our boundary conditions might be considered as a starting point in order to consistently incorporate either a finite or an infinite number of conformal higher spin fields.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2025 4","pages":""},"PeriodicalIF":5.4,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP04(2025)054.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143809251","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The EFT of large spin mesons
IF 5.4 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2025-04-08 DOI: 10.1007/JHEP04(2025)049
Gabriel Cuomo, Sergei Dubovsky, Guzmán Hernández-Chifflet, Alexander Monin, Shahrzad Zare

We use effective string theory to study mesons with large spin J in large Nc QCD as rotating open strings. In the first part of this work, we formulate a consistent effective field theory (EFT) for open spinning strings with light quarks. Our EFT provides a consistent treatment of the endpoints’ singularities that arise in the massless limit. We obtain results, in a systematic 1/J expansion, for the spectrum of the leading and daughter Regge trajectories. Interestingly, we find that the redshift factor associated with the quarks’ acceleration implies that the applicability regime of the EFT is narrower compared to that of static flux tubes. In the second part of this work, we discuss several extensions of phenomenological interests, including mesons with heavy quarks, the quarks’ spin and the daughter Regge trajectories associated with the worldsheet axion, a massive string mode identified in lattice simulations of 4d flux tubes. We compare our predictions with 4d QCD spectroscopy data, and suggest potential stringy interpretations of the observed mesons. We finally comment on the relation between the EFT spectrum and the Axionic String Ansatz, a recently proposed characterization of the spectrum of Yang-Mills glueballs.

{"title":"The EFT of large spin mesons","authors":"Gabriel Cuomo,&nbsp;Sergei Dubovsky,&nbsp;Guzmán Hernández-Chifflet,&nbsp;Alexander Monin,&nbsp;Shahrzad Zare","doi":"10.1007/JHEP04(2025)049","DOIUrl":"10.1007/JHEP04(2025)049","url":null,"abstract":"<p>We use effective string theory to study mesons with large spin <i>J</i> in large <i>N</i><sub><i>c</i></sub> QCD as rotating open strings. In the first part of this work, we formulate a consistent effective field theory (EFT) for open spinning strings with light quarks. Our EFT provides a consistent treatment of the endpoints’ singularities that arise in the massless limit. We obtain results, in a systematic 1/<i>J</i> expansion, for the spectrum of the leading and daughter Regge trajectories. Interestingly, we find that the redshift factor associated with the quarks’ acceleration implies that the applicability regime of the EFT is narrower compared to that of static flux tubes. In the second part of this work, we discuss several extensions of phenomenological interests, including mesons with heavy quarks, the quarks’ spin and the daughter Regge trajectories associated with the worldsheet axion, a massive string mode identified in lattice simulations of 4<i>d</i> flux tubes. We compare our predictions with 4<i>d</i> QCD spectroscopy data, and suggest potential <i>stringy</i> interpretations of the observed mesons. We finally comment on the relation between the EFT spectrum and the Axionic String Ansatz, a recently proposed characterization of the spectrum of Yang-Mills glueballs.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2025 4","pages":""},"PeriodicalIF":5.4,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP04(2025)049.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143818203","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Deconfinements, Kutasov-Schwimmer dualities and Dp[SU(N)] theories
IF 5.4 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2025-04-08 DOI: 10.1007/JHEP04(2025)056
Sergio Benvenuti, Riccardo Comi, Sara Pasquetti, Matteo Sacchi

Kutasov-Schwimmer (KS) dualities involve a rank-2 field with a polynomial superpotential. We derive KS-like dualities via deconfinement, that is assuming only Seiberg-like dualities, which instead just involve fundamental matter. Our derivation is split into two main steps. The first step is the construction of two families of linear quivers with p−1 nodes that confine into a rank-2 chiral field with degree-(p+1) superpotential. Such chiral field is an U(N) adjoint in 3d and an USp(2N) antisymmetric in 4d. In the second step we use these linear quivers to derive, via deconfinement, in a relatively straightforward fashion, two classes of KS-like dualities: the Kim-Park duality for U(N) with adjoint in 3d and the Intriligator duality for USp(2N) with antisymmetric in 4d. We also discuss the close relation of our 3d family of confining unitary quivers to the 4d ( mathcal{N} ) = 2 Dp[SU(N)] SCFTs by circle compactification and various deformations.

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引用次数: 0
The unification in an ( hat{su}{(8)}_{k_U=1} ) affine Lie algebra
IF 5.4 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2025-04-08 DOI: 10.1007/JHEP04(2025)048
Ning Chen, Zhanpeng Hou, Zhaolong Teng

A flavor-unified theory based on the simple Lie algebra of ( mathfrak{su} )(8) was previously proposed to generate the observed three-generational Standard Model quark/lepton mass hierarchies and the Cabibbo-Kobayashi-Maskawa mixing pattern due to their non-universal symmetry properties. A level-1 affine Lie algebra of ( hat{su}{(8)}_{k_U=1} ) with the ( mathcal{N} ) = 1 supersymmetric extension is found to unify three gauge couplings through the maximally symmetry breaking pattern.

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引用次数: 0
TsT-Generated Solutions in Type IIB Supergravity from Twisted Compactification of AdS5×T1,1
IF 5.4 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2025-04-08 DOI: 10.1007/JHEP04(2025)055
Federico Castellani

This paper investigates marginal and dipole TsT transformations of a seed type IIB supergravity solution dual to a supersymmetry-preserving deformation of the Klebanov-Witten 4d SCFT. To explore key properties of the deformed theories, we holographically analyze various observables, including Wilson loops, ’t Hooft loops, Entanglement Entropy, and holographic central charge flow. Moreover, we focus on detecting which of these observables are affected by the dynamics of the Kaluza-Klein (KK) modes resulting from the circle compactification.

{"title":"TsT-Generated Solutions in Type IIB Supergravity from Twisted Compactification of AdS5×T1,1","authors":"Federico Castellani","doi":"10.1007/JHEP04(2025)055","DOIUrl":"10.1007/JHEP04(2025)055","url":null,"abstract":"<p>This paper investigates marginal and dipole TsT transformations of a seed type IIB supergravity solution dual to a supersymmetry-preserving deformation of the Klebanov-Witten 4d SCFT. To explore key properties of the deformed theories, we holographically analyze various observables, including Wilson loops, ’t Hooft loops, Entanglement Entropy, and holographic central charge flow. Moreover, we focus on detecting which of these observables are affected by the dynamics of the Kaluza-Klein (KK) modes resulting from the circle compactification.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2025 4","pages":""},"PeriodicalIF":5.4,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP04(2025)055.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143809250","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Covariant quantization of the superstring in AdS3 × S3 × T4 with mixed flux
IF 5.4 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2025-04-08 DOI: 10.1007/JHEP04(2025)053
Cassiano A. Daniel

A quantizable and manifestly PSU(1, 1|2) × PSU(1, 1|2)-invariant action for the superstring in AdS3 × S3 × T4 with mixed NS-NS and R-R self-dual three-form flux is constructed, which is the analogue of the AdS5 × S5 pure spinor action for AdS3 × S3. The model is then quantized and proven to be conformal invariant at the one-loop level. We conclude by showing how one can relate the supersymmetric description with the Berkovits-Vafa-Witten AdS3 × S3 worldsheet action with mixed flux.

{"title":"Covariant quantization of the superstring in AdS3 × S3 × T4 with mixed flux","authors":"Cassiano A. Daniel","doi":"10.1007/JHEP04(2025)053","DOIUrl":"10.1007/JHEP04(2025)053","url":null,"abstract":"<p>A quantizable and manifestly PSU(1<i>,</i> 1|2) × PSU(1<i>,</i> 1|2)-invariant action for the superstring in AdS<sub>3</sub> × S<sup>3</sup> × T<sup>4</sup> with mixed NS-NS and R-R self-dual three-form flux is constructed, which is the analogue of the AdS<sub>5</sub> × S<sup>5</sup> pure spinor action for AdS<sub>3</sub> × S<sup>3</sup>. The model is then quantized and proven to be conformal invariant at the one-loop level. We conclude by showing how one can relate the supersymmetric description with the Berkovits-Vafa-Witten AdS<sub>3</sub> × S<sup>3</sup> worldsheet action with mixed flux.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2025 4","pages":""},"PeriodicalIF":5.4,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP04(2025)053.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143809252","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
String theory and the SymTFT of 3d orthosymplectic Chern-Simons theory
IF 5.4 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2025-04-08 DOI: 10.1007/JHEP04(2025)047
Oren Bergman, Francesco Mignosa

We revisit the 3d ( mathcal{N} ) = 5 Chern-Simons-Matter theory with orthosymplectic gauge group and its gravity dual from the perspective of generalized symmetries. We derive the corresponding 4d symmetry topological field theory from the gravity dual and relate the allowed boundary conditions to the different variants of the 3d theory. Concentrating on a specific variant that has a discrete non-abelian global symmetry, we explain how the structure of this symmetry arises from brane dynamics.

{"title":"String theory and the SymTFT of 3d orthosymplectic Chern-Simons theory","authors":"Oren Bergman,&nbsp;Francesco Mignosa","doi":"10.1007/JHEP04(2025)047","DOIUrl":"10.1007/JHEP04(2025)047","url":null,"abstract":"<p>We revisit the 3d <span>( mathcal{N} )</span> = 5 Chern-Simons-Matter theory with orthosymplectic gauge group and its gravity dual from the perspective of generalized symmetries. We derive the corresponding 4d symmetry topological field theory from the gravity dual and relate the allowed boundary conditions to the different variants of the 3d theory. Concentrating on a specific variant that has a discrete non-abelian global symmetry, we explain how the structure of this symmetry arises from brane dynamics.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2025 4","pages":""},"PeriodicalIF":5.4,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP04(2025)047.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143809255","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Probing millicharged particles at an electron beam dump with ultralow-threshold sensors 利用超低阈值传感器探测电子束倾弃场的毫冲粒子
IF 5.4 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2025-04-08 DOI: 10.1007/JHEP04(2025)057
Rouven Essig, Peiran Li, Zhen Liu, Megan McDuffie, Ryan Plestid, Hailin Xu

We propose to search for millicharged particles produced in high-intensity electron beam dumps using small ultralow-threshold sensors. As a concrete example, we consider a Skipper-CCD placed behind the beam dump in Hall A at Jefferson Lab. We compute the millicharged particle flux, including both electromagnetic cascade and meson productions emanating from an aluminum target. We find that the sensitivity of a modest 2 × 14 array of Skipper-CCDs can exceed the sensitivity of all existing searches for millicharged particle masses below 1.5 GeV, and is either competitive or world leading when compared to other proposed experiments. Our results demonstrate that small-scale ultralow threshold silicon devices can enhance the reach of accelerator-based experiments, while fitting comfortably within existing experimental halls.

{"title":"Probing millicharged particles at an electron beam dump with ultralow-threshold sensors","authors":"Rouven Essig,&nbsp;Peiran Li,&nbsp;Zhen Liu,&nbsp;Megan McDuffie,&nbsp;Ryan Plestid,&nbsp;Hailin Xu","doi":"10.1007/JHEP04(2025)057","DOIUrl":"10.1007/JHEP04(2025)057","url":null,"abstract":"<p>We propose to search for millicharged particles produced in high-intensity electron beam dumps using small ultralow-threshold sensors. As a concrete example, we consider a Skipper-CCD placed behind the beam dump in Hall A at Jefferson Lab. We compute the millicharged particle flux, including both electromagnetic cascade and meson productions emanating from an aluminum target. We find that the sensitivity of a modest 2 × 14 array of Skipper-CCDs can exceed the sensitivity of all existing searches for millicharged particle masses below 1.5 GeV, and is either competitive or world leading when compared to other proposed experiments. Our results demonstrate that small-scale ultralow threshold silicon devices can enhance the reach of accelerator-based experiments, while fitting comfortably within existing experimental halls.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2025 4","pages":""},"PeriodicalIF":5.4,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP04(2025)057.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143824611","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Non-perturbative schwinger-dyson equations for 3d ( mathcal{N} ) = 4 gauge theories 3d ( mathcal{N} ) = 4 规规理论的非微扰施文格-戴森方程
IF 5.4 1区 物理与天体物理 Q1 Physics and Astronomy Pub Date : 2025-04-08 DOI: 10.1007/JHEP04(2025)052
Nathan Haouzi

We analyze symmetries corresponding to separated topological sectors of 3d N = 4 gauge theories with Higgs vacua, compactified on a circle. The symmetries are encoded in Schwinger-Dyson identities satisfied by correlation functions of a certain gauge-invariant operator, the “vortex character.” Such a character observable is realized as the vortex partition function of the 3d gauge theory, in the presence of a 1/2-BPS line defect. The character enjoys a double refinement, interpreted as a deformation of the usual characters of finite-dimensional representations of quantum affine algebras. We derive and interpret the Schwinger-Dyson identities for the 3d theory from various physical perspectives: in the 3d gauge theory itself, in a 1d gauged quantum mechanics, in 2d q-Toda theory, and in 6d little string theory. We establish the dictionary between all approaches. Lastly, we comment on the transformation properties of the vortex character under the action of 3-dimensional Seiberg duality.

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Journal of High Energy Physics
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