Unimodular Gauge in Perturbative Gravity and Supergravity

Abstract

This paper explains the Unimodular gauge fixing of gravity and supergravity in the framework of a perturbative BRST construction. The unphysical sector contains additional BRST-exact quartets to suppress possible ambiguities and impose both the Unimodular gauge fixing condition on the metric and a gauge condition for the reparametrization symmetry of the unimodular part of the metric. The Unimodular gauge choice of the metric must be completed by a $\gamma$-Traceless gauge condition for the Rarita--Schwinger field in the case of supergravity. This gives an interesting new class of gauges for gravity and supergravity.

arXiv commentA section has been added that computes the the spin connection in the unimodular gauge for a better understanding of gravitational couplings of spinors in this gauge

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• Stückelberg path to pure de Sitter supergravity
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• On the Gravitini Zero Modes riding on top of Multiple Black Holes
• On Unimodular Gauge of Quantum Gravity
• Covariant BRST Quantization of Unimodular Gravity II -- Formulation with a vector antighost --