Localization of the Free Energy in Supergravity
Pietro Benetti Genolini, Jerome P. Gauntlett, Yusheng Jiao, Alice Lüscher, James Sparks
Abstract
We derive a general formula for the gravitational free energy of Euclidean supersymmetric solutions to D=4, N=2 gauged supergravity coupled to vector multiplet matter. This allows one to compute the free energy without solving any supergravity equations, just assuming the solutions exist. As well as recovering some known results in the literature with ease, we also present new supergravity results that match with holographically dual field theory computations.
Topics & Concepts
SupergravityPhysicsEnergy (signal processing)Theoretical physicsQuantum electrodynamicsParticle physicsSupersymmetryQuantum mechanicsBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesParticle physics theoretical and experimental studies