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Unimodular gauge in perturbative gravity and supergravity

Laurent Baulieu

2020Physics Letters B24 citationsDOIOpen Access PDF

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 γ-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.

Topics & Concepts

SupergravityUnimodular matrixBRST quantizationPhysicsHigher-dimensional supergravityGauge (firearms)Mathematical physicsParticle physicsMetric (unit)Gauge theoryTheoretical physicsSupersymmetryMathematicsPure mathematicsHistoryOperations managementEconomicsArchaeologyBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesParticle physics theoretical and experimental studies