English

Off-shell superconformal higher spin multiplets in four dimensions

High Energy Physics - Theory 2017-12-01 v3 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.1701.00682,
  title  = {Off-shell superconformal higher spin multiplets in four dimensions},
  author = {Sergei M. Kuzenko and Ruben Manvelyan and Stefan Theisen},
  journal= {arXiv preprint arXiv:1701.00682},
  year   = {2017}
}

Comments

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

R2 v1 2026-06-22T17:39:57.980Z