Off-shell superconformal higher spin multiplets in four dimensions

2017/01/31 by Sergei M. Kuzenko, Ruben Manvelyan, Stefan Theisen · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal map #Cosmology and Gravitation Theories #Gravitino #Invariant (physics) #Multiplet #Pulsars and Gravitational Waves Research #Spacetime #Spin (aerodynamics) #Superconformal algebra #Supergravity #Supersymmetry #Tensor (intrinsic definition) #hep-th #math-ph #math.MP

paper · pdf · doi:10.1007/jhep07(2017)034

24 pages; V2: published version; V3: sign factor in (5.12) corrected

openalex created_date 2017/01/13 · openalex publication_date 2017/07/01 · arxiv created 2017/11/30 · arxiv updated 2017/12/01 · openalex updated_date 2026/08/05

Abstract

We formulate off-shell N = 1 superconformal higher spin multiplets in four spacetime dimensions and briefly discuss their coupling to conformal supergravity. As an example, we explicitly work out the coupling of the superconformal gravitino multiplet to conformal supergravity. The corresponding action is super-Weyl invariant for arbitrary supergravity backgrounds. However, it is gauge invariant only if the supersymmetric Bach tensor vanishes. This is similar to linearised conformal supergravity in curved background.

Citations

• Conformal higher spin theory

Cited by

• The massless integer superspin multiplets revisited
• Field theories with (2,0) AdS supersymmetry in N=1 AdS superspace
• N=2 supersymmetric higher spin gauge theories and current multiplets in three dimensions

Related

• The N=2 superconformal gravitino multiplet
• Construction of all N=4 conformal supergravities
• Models for (super)conformal higher-spin fields on curved backgrounds
• Linearised actions for \cal N-extended (higher-spin) superconformal gravity
• N=2 supersymmetric higher spin gauge theories and current multiplets in three dimensions