A note on unimodular $N=1,d=4$ AdS supergravity

Abstract

We put forward a unimodular $N=1,d=4$ anti-de Sitter supergravity theory off shell. This theory, where the Cosmological Constant does not couple to gravity, has a unique maximally supersymmetric classical vacuum which is Anti-de Sitter spacetime with radius given by the equation of motion of the auxiliary scalar field, ie, $S=\frac{3}{\kappa L}$. However, we see that the non-supersymmetric classical vacua of the unimodular theory are Minkowski and de Sitter spacetimes as well as anti-de Sitter spacetime with radius $l\ne L$.

arXiv comment10 pages

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• Stückelberg path to pure de Sitter supergravity