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.

A 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

References in corpus (3)

• The path integral of unimodular gravity
• Axionic cosmological constant
• Off-shell unimodular N=1, d=4 supergravity

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