Linearised actions for N -extended (higher-spin) superconformal gravity

Evgeny I. Buchbinde, Daniel Hutchings, Jessica Hutomo, Sergei M. Kuzenko

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The off-shell actions for N -extended conformal supergravity theories in three dimensions were formulated in [1, 2] for 1 ≤ N ≤ 6 using a universal approach. Each action is generated by a closed super three-form which is constructed in terms of the constrained geometry of N -extended conformal superspace. In this paper we initiate a program to recast these actions (and to formulate their higher-spin counterparts) in terms of unconstrained gauge prepotentials as integrals over the full superspace. We derive transverse projection operators in N -extended Minkowski superspace and then use them to construct linearised rank-n super-Cotton tensors and off-shell N -extended superconformal actions. We also propose off-shell gauge-invariant actions to describe massive higher-spin super-multiplets in N -extended supersymmetry. Our analysis leads to general expressions for identically conserved higher-spin current multiplets in N -extended supersymmetry.

Original languageEnglish
Article number77
JournalJournal of High Energy Physics
Volume2019
Issue number8
DOIs
Publication statusPublished - 1 Aug 2019

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gravitation
supersymmetry
fine structure
cotton
supergravity
projection
tensors
operators
geometry

Cite this

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abstract = "The off-shell actions for N -extended conformal supergravity theories in three dimensions were formulated in [1, 2] for 1 ≤ N ≤ 6 using a universal approach. Each action is generated by a closed super three-form which is constructed in terms of the constrained geometry of N -extended conformal superspace. In this paper we initiate a program to recast these actions (and to formulate their higher-spin counterparts) in terms of unconstrained gauge prepotentials as integrals over the full superspace. We derive transverse projection operators in N -extended Minkowski superspace and then use them to construct linearised rank-n super-Cotton tensors and off-shell N -extended superconformal actions. We also propose off-shell gauge-invariant actions to describe massive higher-spin super-multiplets in N -extended supersymmetry. Our analysis leads to general expressions for identically conserved higher-spin current multiplets in N -extended supersymmetry.",
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Linearised actions for N -extended (higher-spin) superconformal gravity. / Buchbinde, Evgeny I.; Hutchings, Daniel; Hutomo, Jessica; Kuzenko, Sergei M.

In: Journal of High Energy Physics, Vol. 2019, No. 8, 77, 01.08.2019.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Linearised actions for N -extended (higher-spin) superconformal gravity

AU - Buchbinde, Evgeny I.

AU - Hutchings, Daniel

AU - Hutomo, Jessica

AU - Kuzenko, Sergei M.

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AB - The off-shell actions for N -extended conformal supergravity theories in three dimensions were formulated in [1, 2] for 1 ≤ N ≤ 6 using a universal approach. Each action is generated by a closed super three-form which is constructed in terms of the constrained geometry of N -extended conformal superspace. In this paper we initiate a program to recast these actions (and to formulate their higher-spin counterparts) in terms of unconstrained gauge prepotentials as integrals over the full superspace. We derive transverse projection operators in N -extended Minkowski superspace and then use them to construct linearised rank-n super-Cotton tensors and off-shell N -extended superconformal actions. We also propose off-shell gauge-invariant actions to describe massive higher-spin super-multiplets in N -extended supersymmetry. Our analysis leads to general expressions for identically conserved higher-spin current multiplets in N -extended supersymmetry.

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