English

Off-shell unimodular N=1, d=4 supergravity

High Energy Physics - Theory 2020-02-19 v1

Abstract

We formulate a unimodular N=1, d=4 supergravity theory off shell. We see that the infinitesimal Grassmann parameters defining the unimodular supergravity transformations are constrained and show that the conmutator of two infinitesinal unimodular supergravity transformations closes on transverse diffeomorphisms, Lorentz transformations and unimodular supergravity transformations. Along the way, we also show that the linearized theory is a supersymmetric theory of gravitons and gravitinos. We see that de Sitter and anti-de Sitter spacetimes are non-supersymmetric vacua of our unimodular supergravity theory.

Keywords

Cite

@article{arxiv.1911.04160,
  title  = {Off-shell unimodular N=1, d=4 supergravity},
  author = {Jesus Anero and Carmelo P. Martin and Raquel Santos-Garcia},
  journal= {arXiv preprint arXiv:1911.04160},
  year   = {2020}
}

Comments

23 pages, no figures

R2 v1 2026-06-23T12:11:22.899Z