Abstract
We formulate a unimodular N = 1, d = 4 supergravity theory off shell. We see that the infinitesimal Grassmann parameters defining the unimodular supergravity trans- formations are constrained and show that the conmutator of two infinitesinal unimodular supergravity transformations closes on transverse diffeomorphisms, Lorentz transforma- tions 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.
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Anero, J., Martin, C.P. & Santos-Garcia, R. Off-shell unimodular N = 1, d = 4 supergravity. J. High Energ. Phys. 2020, 145 (2020). https://doi.org/10.1007/JHEP01(2020)145
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DOI: https://doi.org/10.1007/JHEP01(2020)145