Unimodular gauge in perturbative gravity and supergravity
Laurent Baulieu
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