AdS one-loop partition functions from bulk and edge characters
Zimo Sun
Abstract
A bstract We show that the one-loop partition function of any higher spin field in ( d + 1)-dimensional Anti-de Sitter spacetime can be expressed as an integral transform of an SO(2 , d ) bulk character and an SO(2 , d − 2) edge character. We apply this character integral formula to various higher-spin Vasiliev gravities and find miraculous (almost) cancellations between bulk and edge characters that lead to agreement with the predictions of HS/CFT holography. We also discuss the relation between the character integral representation and the Rindler-AdS thermal partition function.
Topics & Concepts
Character (mathematics)Partition function (quantum field theory)Mathematical physicsPhysicsSpacetimeRepresentation (politics)Partition (number theory)Anti-de Sitter spaceEnhanced Data Rates for GSM EvolutionPure mathematicsMathematicsCombinatoricsQuantum mechanicsGeometryComputer scienceArtificial intelligenceLawPolitical sciencePoliticsBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesParticle physics theoretical and experimental studies