Cosmological collider signals of primordial non-Gaussianity arise at tree level when an extra scalar has Hubble mass during inflation. We critically review the formalism finding that a large class of inflationary theories, based on Planck-scale physics, predict a scalar bi-spectrum around the gravitational floor level. This mild signal arises for example in R2 gravity, in the regime where its gravitational scalar has Hubble-scale mass. Signals much above the gravitational floor arise in theories where scalars undergo multiple turns during inflation, thanks to sub-Planckian physics.
{"title":"Cosmological collider non-Gaussianity from multiple scalars and R2 gravity","authors":"Shuntaro Aoki, Anish Ghoshal, Alessandro Strumia","doi":"10.1007/JHEP11(2024)009","DOIUrl":"10.1007/JHEP11(2024)009","url":null,"abstract":"<p>Cosmological collider signals of primordial non-Gaussianity arise at tree level when an extra scalar has Hubble mass during inflation. We critically review the formalism finding that a large class of inflationary theories, based on Planck-scale physics, predict a scalar bi-spectrum around the gravitational floor level. This mild signal arises for example in <i>R</i><sup>2</sup> gravity, in the regime where its gravitational scalar has Hubble-scale mass. Signals much above the gravitational floor arise in theories where scalars undergo multiple turns during inflation, thanks to sub-Planckian physics.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2024 11","pages":""},"PeriodicalIF":5.4,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP11(2024)009.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142595236","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}
Nikolaos Athanasiou, P. Marios Petropoulos, Simon M. Schulz, Grigalius Taujanskas
Galilean and Carrollian algebras acting on two-dimensional Newton-Cartan and Carrollian manifolds are isomorphic. A consequence of this property is a duality correspondence between one-dimensional Galilean and Carrollian fluids. We describe the dynamics of these systems as they emerge from the relevant limits of Lorentzian hydrodynamics, and explore the advertised duality relationship. This interchanges longitudinal and transverse directions with respect to the flow velocity, and permutes equilibrium and out-of-equilibrium observables, unveiling specific features of Carrollian physics. We investigate the action of local hydrodynamic-frame transformations in the Galilean and Carrollian configurations, i.e. dual Galilean and Carrollian local boosts, and comment on their potential breaking. Emphasis is laid on the additional geometric elements that are necessary to attain complete systems of hydrodynamic equations in Newton-Cartan and Carroll spacetimes. Our analysis is conducted in general Cartan frames as well as in more explicit coordinates, specifically suited to Galilean or Carrollian use.
{"title":"One-dimensional Carrollian fluids. Part I. Carroll-Galilei duality","authors":"Nikolaos Athanasiou, P. Marios Petropoulos, Simon M. Schulz, Grigalius Taujanskas","doi":"10.1007/JHEP11(2024)012","DOIUrl":"10.1007/JHEP11(2024)012","url":null,"abstract":"<p>Galilean and Carrollian algebras acting on two-dimensional Newton-Cartan and Carrollian manifolds are isomorphic. A consequence of this property is a duality correspondence between one-dimensional Galilean and Carrollian fluids. We describe the dynamics of these systems as they emerge from the relevant limits of Lorentzian hydrodynamics, and explore the advertised duality relationship. This interchanges longitudinal and transverse directions with respect to the flow velocity, and permutes equilibrium and out-of-equilibrium observables, unveiling specific features of Carrollian physics. We investigate the action of local hydrodynamic-frame transformations in the Galilean and Carrollian configurations, i.e. dual Galilean and Carrollian local boosts, and comment on their potential breaking. Emphasis is laid on the additional geometric elements that are necessary to attain complete systems of hydrodynamic equations in Newton-Cartan and Carroll spacetimes. Our analysis is conducted in general Cartan frames as well as in more explicit coordinates, specifically suited to Galilean or Carrollian use.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2024 11","pages":""},"PeriodicalIF":5.4,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP11(2024)012.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587814","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}
We derive an analog of Mirzakhani’s recursion relation for hyperbolic string vertices and investigate its implications for closed string field theory. Central to our construction are systolic volumes: the Weil-Petersson volumes of regions in moduli spaces of Riemann surfaces whose elements have systoles L ≥ 0. These volumes can be shown to satisfy a recursion relation through a modification of Mirzakhani’s recursion as long as L ≤ 2 sinh−1 1. Applying the pants decomposition of Riemann surfaces to off-shell string amplitudes, we promote this recursion to hyperbolic string field theory and demonstrate the higher order vertices are determined by the cubic vertex iteratively for any background. Such structure implies the solutions of closed string field theory obey a quadratic integral equation. We illustrate the utility of our approach in an example of a stubbed scalar theory.
{"title":"Topological recursion for hyperbolic string field theory","authors":"Atakan Hilmi Fırat, Nico Valdes-Meller","doi":"10.1007/JHEP11(2024)005","DOIUrl":"10.1007/JHEP11(2024)005","url":null,"abstract":"<p>We derive an analog of Mirzakhani’s recursion relation for hyperbolic string vertices and investigate its implications for closed string field theory. Central to our construction are systolic volumes: the Weil-Petersson volumes of regions in moduli spaces of Riemann surfaces whose elements have systoles <i>L</i> ≥ 0. These volumes can be shown to satisfy a recursion relation through a modification of Mirzakhani’s recursion as long as <i>L</i> ≤ 2 sinh<sup>−1</sup> 1. Applying the pants decomposition of Riemann surfaces to off-shell string amplitudes, we promote this recursion to hyperbolic string field theory and demonstrate the higher order vertices are determined by the cubic vertex iteratively for any background. Such structure implies the solutions of closed string field theory obey a quadratic integral equation. We illustrate the utility of our approach in an example of a stubbed scalar theory.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2024 11","pages":""},"PeriodicalIF":5.4,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP11(2024)005.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587857","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}
We project the reach of future lepton colliders for measuring CKM elements from direct observations of W decays. We focus our attention to |Vcs| and |Vcb| determinations, using FCC-ee as case study. We employ state-of-the-art jet flavor taggers to obtain the projected sensitivity, and scan over tagger performances to show their effect. We conclude that future lepton collider can sizeably improve the sensitivity on |Vcs| and |Vcb|, albeit the achievable reach will strongly depend on the level of systematic uncertainties on tagger parameters.
{"title":"Direct CKM determination from W decays at future lepton colliders","authors":"David Marzocca, Manuel Szewc, Michele Tammaro","doi":"10.1007/JHEP11(2024)017","DOIUrl":"10.1007/JHEP11(2024)017","url":null,"abstract":"<p>We project the reach of future lepton colliders for measuring CKM elements from direct observations of <i>W</i> decays. We focus our attention to |<i>V</i><sub><i>cs</i></sub>| and |<i>V</i><sub><i>cb</i></sub>| determinations, using FCC-ee as case study. We employ state-of-the-art jet flavor taggers to obtain the projected sensitivity, and scan over tagger performances to show their effect. We conclude that future lepton collider can sizeably improve the sensitivity on |<i>V</i><sub><i>cs</i></sub>| and |<i>V</i><sub><i>cb</i></sub>|, albeit the achievable reach will strongly depend on the level of systematic uncertainties on tagger parameters.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2024 11","pages":""},"PeriodicalIF":5.4,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP11(2024)017.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587871","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}
Nicolas Boulanger, Sebastian Garcia-Saenz, Songsong Pan, Lucas Traina
We perform a complete classification of the consistent two-derivative cubic couplings for a system containing an arbitrary number of massless spin-1, massless spin-2, and partially massless (PM) spin-2 fields in D-dimensional (anti-)de Sitter space. In addition to previously known results, we find a unique candidate mixing between spin-1 and PM spin-2 fields. We derive all the quadratic constraints on the structure constants of the theory, allowing for relative “wrong-sign” kinetic terms for any of the fields. In the particular case when the kinetic terms in each sector have no relative signs, we find that the unique consistent non-trivial theory is given by multiple independent copies of conformal gravity coupled to a Yang-Mills sector in D = 4. Our results strengthen the well-known no-go theorems on the absence of mutual interactions for massless and PM spin-2 fields.
我们对 D 维(反)德西特空间中包含任意数量无质量自旋-1、无质量自旋-2 和部分无质量(PM)自旋-2 场的系统的一致二阶三次方耦合进行了完整的分类。除了之前已知的结果之外,我们还发现了自旋-1 和 PM 自旋-2 场之间的独特候选混合。我们推导出理论结构常数的所有二次约束,允许任何场的相对 "错号 "动力学项。在每个扇区的动力学项没有相对符号的特殊情况下,我们发现唯一一致的非三维理论是由 D = 4 中与杨-米尔斯扇区耦合的共形引力的多个独立副本给出的。我们的结果加强了关于无质量场和 PM 自旋-2 场不存在相互影响的著名 "不走 "定理。
{"title":"Cubic interactions for massless and partially massless spin-1 and spin-2 fields","authors":"Nicolas Boulanger, Sebastian Garcia-Saenz, Songsong Pan, Lucas Traina","doi":"10.1007/JHEP11(2024)019","DOIUrl":"10.1007/JHEP11(2024)019","url":null,"abstract":"<p>We perform a complete classification of the consistent two-derivative cubic couplings for a system containing an arbitrary number of massless spin-1, massless spin-2, and partially massless (PM) spin-2 fields in <i>D</i>-dimensional (anti-)de Sitter space. In addition to previously known results, we find a unique candidate mixing between spin-1 and PM spin-2 fields. We derive all the quadratic constraints on the structure constants of the theory, allowing for relative “wrong-sign” kinetic terms for any of the fields. In the particular case when the kinetic terms in each sector have no relative signs, we find that the unique consistent non-trivial theory is given by multiple independent copies of conformal gravity coupled to a Yang-Mills sector in <i>D</i> = 4. Our results strengthen the well-known no-go theorems on the absence of mutual interactions for massless and PM spin-2 fields.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2024 11","pages":""},"PeriodicalIF":5.4,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP11(2024)019.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587872","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}
A method for calculating the 1/d expansion coefficients for solutions of integration by parts relations for Feynman integrals is presented. The idea is to use linear substitutions to transform these relations to an explicitly recursive form. A possible type of such substitutions is proposed for the case of vacuum integrals. Its applicability is shown for several families of massless (with one massive line) vacuum integrals up to the 7-loop level.
{"title":"Solving recurrence relations for multiloop integrals in the limit of large values of the dimensional regularization parameter","authors":"P. A. Baikov","doi":"10.1007/JHEP11(2024)016","DOIUrl":"10.1007/JHEP11(2024)016","url":null,"abstract":"<p>A method for calculating the 1<i>/d</i> expansion coefficients for solutions of integration by parts relations for Feynman integrals is presented. The idea is to use linear substitutions to transform these relations to an explicitly recursive form. A possible type of such substitutions is proposed for the case of vacuum integrals. Its applicability is shown for several families of massless (with one massive line) vacuum integrals up to the 7-loop level.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2024 11","pages":""},"PeriodicalIF":5.4,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP11(2024)016.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587774","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}
Subhodip Bandyopadhyay, Yogesh K. Srivastava, Amitabh Virmani
The 4D-5D connection allows us to view the same near horizon geometry as part of a 4D black hole or a 5D black hole. A much studied example of this phenomenon is the BMPV black hole uplifted to 6D with flat base space versus Taub-NUT base space. These black holes have identical near horizon AdS3 × S3 geometry. In this paper, we study modes in AdS3 × S3 and identify those that correspond to supersymmetric hair modes in the full black hole spacetimes. We show that these modes satisfy non-normalisable boundary conditions in AdS3. The non-normalisable boundary conditions are different for different hair modes and for different asymptotic completion. We also discuss how the supersymmetric hair modes on BMPV black holes fit into the classification of supersymmetric solutions of 6D supergravity.
{"title":"Supersymmetric black hole hair and AdS3 × S3","authors":"Subhodip Bandyopadhyay, Yogesh K. Srivastava, Amitabh Virmani","doi":"10.1007/JHEP11(2024)015","DOIUrl":"10.1007/JHEP11(2024)015","url":null,"abstract":"<p>The 4D-5D connection allows us to view the same near horizon geometry as part of a 4D black hole or a 5D black hole. A much studied example of this phenomenon is the BMPV black hole uplifted to 6D with flat base space versus Taub-NUT base space. These black holes have identical near horizon AdS<sub>3</sub> × <i>S</i><sup>3</sup> geometry. In this paper, we study modes in AdS<sub>3</sub> × <i>S</i><sup>3</sup> and identify those that correspond to supersymmetric hair modes in the full black hole spacetimes. We show that these modes satisfy non-normalisable boundary conditions in AdS<sub>3</sub>. The non-normalisable boundary conditions are different for different hair modes and for different asymptotic completion. We also discuss how the supersymmetric hair modes on BMPV black holes fit into the classification of supersymmetric solutions of 6D supergravity.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2024 11","pages":""},"PeriodicalIF":5.4,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP11(2024)015.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587815","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}
Viatcheslav F. Mukhanov, Yaron Oz, Alexander S. Sorin
We study the decay of the false vacuum in the regime where the quantum field theory analysis is not valid, since gravitational effects become important. This happens when the height of the barrier separating the false and the true vacuum is large, and it has implications for the instability of de Sitter, Minkowski and anti-de Sitter vacua. We carry out the calculations for a scalar field with a potential coupled to gravity, and work within the thin-wall approximation, where the bubble wall is thin compared to the size of the bubble. We show that the false de Sitter vacuum is unstable, independently of the height of the potential and the relative depth of the true vacuum compared to the false vacuum. The false Minkowski and anti-de Sitter vacua can be stable despite the existence of a lower energy true vacuum. However, when the relative depth of the true and false vacua exceeds a critical value, which depends on the potential of the false vacuum and the height of the barrier, then the false Minkowski and anti-de Sitter vacua become unstable. We calculate the probability for the decay of the false de Sitter, Minkowski and anti-de Sitter vacua, as a function of the parameters characterizing the field potential.
{"title":"Gravitationally dominated instantons and instability of dS, AdS and Minkowski spaces","authors":"Viatcheslav F. Mukhanov, Yaron Oz, Alexander S. Sorin","doi":"10.1007/JHEP11(2024)021","DOIUrl":"10.1007/JHEP11(2024)021","url":null,"abstract":"<p>We study the decay of the false vacuum in the regime where the quantum field theory analysis is not valid, since gravitational effects become important. This happens when the height of the barrier separating the false and the true vacuum is large, and it has implications for the instability of de Sitter, Minkowski and anti-de Sitter vacua. We carry out the calculations for a scalar field with a potential coupled to gravity, and work within the thin-wall approximation, where the bubble wall is thin compared to the size of the bubble. We show that the false de Sitter vacuum is unstable, independently of the height of the potential and the relative depth of the true vacuum compared to the false vacuum. The false Minkowski and anti-de Sitter vacua can be stable despite the existence of a lower energy true vacuum. However, when the relative depth of the true and false vacua exceeds a critical value, which depends on the potential of the false vacuum and the height of the barrier, then the false Minkowski and anti-de Sitter vacua become unstable. We calculate the probability for the decay of the false de Sitter, Minkowski and anti-de Sitter vacua, as a function of the parameters characterizing the field potential.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2024 11","pages":""},"PeriodicalIF":5.4,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP11(2024)021.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587873","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}
Arjun Bagchi, Arthur Lipstein, Mangesh Mandlik, Aditya Mehra
With the goal of building a concrete co-dimension one holographically dual field theory for four dimensional asymptotically flat spacetimes (4d AFS) as a limit of AdS4/CFT3, we begin an investigation of 3d Chern-Simons matter (CSM) theories in the Carroll regime. We perform a Carroll (speed of light c → 0) expansion of the relativistic Chern-Simons action coupled to a massless scalar and obtain Carrollian CSM theories, which we show are invariant under the infinite dimensional 3d conformal Carroll or 4d Bondi-van der Burg-Metzner-Sachs (BMS4) symmetries, thus making them putative duals for 4d AFS. Concentrating on the leading-order electric Carroll CSM theory, we perform a null reduction of the 3d theory. Null reduction is a procedure to obtain non-relativistic theories from a higher dimensional relativistic theory. Curiously, null reduction of a Carrollian theory yields a relativistic lower-dimensional theory. We work with SU(N) × SU(M) CS theory coupled to bi-fundamental matter and show that when N = M, we obtain (rather surprisingly) a 2d Euclidean Yang-Mills theory after null reduction. We also comment on the reduction when N ≠ M and possible connections of the null-reduced Carroll theory to a candidate 2d Celestial CFT.
我们的目标是为四维渐平时空(4d AFS)建立一个具体的同维一全息对偶场论,作为 AdS4/CFT3 的一个极限,我们开始研究卡罗尔机制下的 3d 切尔-西蒙物质(CSM)理论。我们对与无质量标量耦合的相对论切尔-西蒙斯作用进行了卡罗尔(光速 c → 0)展开,得到了卡罗尔 CSM 理论,并证明这些理论在无限维 3d 共形卡罗尔或 4d 邦迪-范-德-伯格-梅兹纳-萨克斯(BMS4)对称下是不变的,从而使它们成为 4d AFS 的推定对偶。我们以前沿电卡罗尔 CSM 理论为中心,对 3d 理论进行了空还原。空还原是一种从高维相对论得到非相对论理论的程序。奇怪的是,卡罗尔理论的空还原会产生相对论性的低维理论。我们研究了与双基本物质耦合的苏(N) × 苏(M) CS 理论,结果表明当 N = M 时,我们在空还原后得到了一个二维欧几里得杨-米尔斯理论(相当令人惊讶)。我们还评论了 N ≠ M 时的还原,以及空还原卡罗尔理论与候选 2d 天体 CFT 的可能联系。
{"title":"3d Carrollian Chern-Simons theory & 2d Yang-Mills","authors":"Arjun Bagchi, Arthur Lipstein, Mangesh Mandlik, Aditya Mehra","doi":"10.1007/JHEP11(2024)006","DOIUrl":"10.1007/JHEP11(2024)006","url":null,"abstract":"<p>With the goal of building a concrete co-dimension one holographically dual field theory for four dimensional asymptotically flat spacetimes (4d AFS) as a limit of AdS<sub>4</sub>/CFT<sub>3</sub>, we begin an investigation of 3d Chern-Simons matter (CSM) theories in the Carroll regime. We perform a Carroll (speed of light <i>c</i> → 0) expansion of the relativistic Chern-Simons action coupled to a massless scalar and obtain Carrollian CSM theories, which we show are invariant under the infinite dimensional 3d conformal Carroll or 4d Bondi-van der Burg-Metzner-Sachs (BMS<sub>4</sub>) symmetries, thus making them putative duals for 4d AFS. Concentrating on the leading-order electric Carroll CSM theory, we perform a null reduction of the 3d theory. Null reduction is a procedure to obtain non-relativistic theories from a higher dimensional relativistic theory. Curiously, null reduction of a Carrollian theory yields a relativistic lower-dimensional theory. We work with SU(<i>N</i>) × SU(<i>M</i>) CS theory coupled to bi-fundamental matter and show that when <i>N</i> = <i>M</i>, we obtain (rather surprisingly) a 2d Euclidean Yang-Mills theory after null reduction. We also comment on the reduction when <i>N</i> ≠ <i>M</i> and possible connections of the null-reduced Carroll theory to a candidate 2d Celestial CFT.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2024 11","pages":""},"PeriodicalIF":5.4,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP11(2024)006.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587856","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}
Three years ago, we proposed free off-shell models for ( mathcal{N} ) = 2 superconformal higher-spin multiplets in arbitrary conformally flat backgrounds, constructed conserved conformal higher-spin supercurrents for a massless hypermultiplet, and sketched the Noether procedure to generate its cubic couplings to the superconformal higher-spin multiplets. This paper is devoted to completing the Noether procedure. Specifically, we: (i) describe the unique off-shell primary extensions of the conformal higher-spin supercurrents; (ii) embed the off-shell superconformal prepotentials into primary unconstrained isotwistor multiplets; and (iii) present the unique gauge transformations of the hypermultiplet and the isotwistor prepotentials. An extension of the Noether procedure beyond the cubic level is also sketched, following the earlier ( mathcal{N} ) = 1 superconformal approach developed by the authors and Ponds in 2022. Our construction is based on making use of the polar hypermultiplet within the projective-superspace setting.
{"title":"Towards ( mathcal{N} ) = 2 superconformal higher-spin theory","authors":"Sergei M. Kuzenko, Emmanouil S. N. Raptakis","doi":"10.1007/JHEP11(2024)013","DOIUrl":"10.1007/JHEP11(2024)013","url":null,"abstract":"<p>Three years ago, we proposed free off-shell models for <span>( mathcal{N} )</span> = 2 superconformal higher-spin multiplets in arbitrary conformally flat backgrounds, constructed conserved conformal higher-spin supercurrents for a massless hypermultiplet, and sketched the Noether procedure to generate its cubic couplings to the superconformal higher-spin multiplets. This paper is devoted to completing the Noether procedure. Specifically, we: (i) describe the unique off-shell primary extensions of the conformal higher-spin supercurrents; (ii) embed the off-shell superconformal prepotentials into primary unconstrained isotwistor multiplets; and (iii) present the unique gauge transformations of the hypermultiplet and the isotwistor prepotentials. An extension of the Noether procedure beyond the cubic level is also sketched, following the earlier <span>( mathcal{N} )</span> = 1 superconformal approach developed by the authors and Ponds in 2022. Our construction is based on making use of the polar hypermultiplet within the projective-superspace setting.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2024 11","pages":""},"PeriodicalIF":5.4,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP11(2024)013.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587816","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}