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 -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.
Cite
@article{arxiv.2004.05950,
title = {Unimodular Gauge in Perturbative Gravity and Supergravity},
author = {Laurent Baulieu},
journal= {arXiv preprint arXiv:2004.05950},
year = {2020}
}
Comments
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