N=2 supersymmetric higher spin gauge theories and current multiplets in three dimensions

Jessica Hutomo, Sergei M. Kuzenko, Daniel Ogburn

Research output: Contribution to journalArticle

1 Citation (Scopus)
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Abstract

We describe several families of primary linear supermultiplets coupled to three-dimensional N=2 conformal supergravity and use them to construct topological BF-type terms. We introduce conformal higher-spin gauge superfields and associate with them Chern-Simons-type actions that are constructed as an extension of the linearized action for N=2 conformal supergravity. These actions possess gauge and super-Weyl invariance in any conformally flat superspace and involve a higher-spin generalization of the linearized N=2 super-Cotton tensor. For massless higher-spin supermultiplets in (1,1) anti-de Sitter (AdS) superspace, we propose two off-shell Lagrangian gauge formulations, which are related to each other by a duality transformation. Making use of these massless theories allows us to formulate consistent higher-spin supercurrent multiplets in (1,1) AdS superspace. Explicit examples of such supercurrent multiplets are provided for models of massive chiral supermultiplets. Off-shell formulations for massive higher-spin supermultiplets in (1,1) AdS superspace are proposed.

Original languageEnglish
Article number125004
JournalPhysical Review D
Volume98
Issue number12
DOIs
Publication statusPublished - 15 Dec 2018

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gauge theory
fine structure
supergravity
formulations
cotton
invariance
tensors

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title = "N=2 supersymmetric higher spin gauge theories and current multiplets in three dimensions",
abstract = "We describe several families of primary linear supermultiplets coupled to three-dimensional N=2 conformal supergravity and use them to construct topological BF-type terms. We introduce conformal higher-spin gauge superfields and associate with them Chern-Simons-type actions that are constructed as an extension of the linearized action for N=2 conformal supergravity. These actions possess gauge and super-Weyl invariance in any conformally flat superspace and involve a higher-spin generalization of the linearized N=2 super-Cotton tensor. For massless higher-spin supermultiplets in (1,1) anti-de Sitter (AdS) superspace, we propose two off-shell Lagrangian gauge formulations, which are related to each other by a duality transformation. Making use of these massless theories allows us to formulate consistent higher-spin supercurrent multiplets in (1,1) AdS superspace. Explicit examples of such supercurrent multiplets are provided for models of massive chiral supermultiplets. Off-shell formulations for massive higher-spin supermultiplets in (1,1) AdS superspace are proposed.",
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N=2 supersymmetric higher spin gauge theories and current multiplets in three dimensions. / Hutomo, Jessica; Kuzenko, Sergei M.; Ogburn, Daniel.

In: Physical Review D, Vol. 98, No. 12, 125004, 15.12.2018.

Research output: Contribution to journalArticle

TY - JOUR

T1 - N=2 supersymmetric higher spin gauge theories and current multiplets in three dimensions

AU - Hutomo, Jessica

AU - Kuzenko, Sergei M.

AU - Ogburn, Daniel

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N2 - We describe several families of primary linear supermultiplets coupled to three-dimensional N=2 conformal supergravity and use them to construct topological BF-type terms. We introduce conformal higher-spin gauge superfields and associate with them Chern-Simons-type actions that are constructed as an extension of the linearized action for N=2 conformal supergravity. These actions possess gauge and super-Weyl invariance in any conformally flat superspace and involve a higher-spin generalization of the linearized N=2 super-Cotton tensor. For massless higher-spin supermultiplets in (1,1) anti-de Sitter (AdS) superspace, we propose two off-shell Lagrangian gauge formulations, which are related to each other by a duality transformation. Making use of these massless theories allows us to formulate consistent higher-spin supercurrent multiplets in (1,1) AdS superspace. Explicit examples of such supercurrent multiplets are provided for models of massive chiral supermultiplets. Off-shell formulations for massive higher-spin supermultiplets in (1,1) AdS superspace are proposed.

AB - We describe several families of primary linear supermultiplets coupled to three-dimensional N=2 conformal supergravity and use them to construct topological BF-type terms. We introduce conformal higher-spin gauge superfields and associate with them Chern-Simons-type actions that are constructed as an extension of the linearized action for N=2 conformal supergravity. These actions possess gauge and super-Weyl invariance in any conformally flat superspace and involve a higher-spin generalization of the linearized N=2 super-Cotton tensor. For massless higher-spin supermultiplets in (1,1) anti-de Sitter (AdS) superspace, we propose two off-shell Lagrangian gauge formulations, which are related to each other by a duality transformation. Making use of these massless theories allows us to formulate consistent higher-spin supercurrent multiplets in (1,1) AdS superspace. Explicit examples of such supercurrent multiplets are provided for models of massive chiral supermultiplets. Off-shell formulations for massive higher-spin supermultiplets in (1,1) AdS superspace are proposed.

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