Localizing wrapped M5-branes and gravitational blocks
Pietro Benetti Genolini, Jerome P. Gauntlett, James Sparks
Abstract
We consider $d=2$, $\mathcal{N}=(0,2)$ SCFTs that can arise from M5-branes wrapping four-dimensional, complex, toric manifolds and orbifolds. We use equivariant localization to compute the off-shell central charge of the dual supergravity solutions, obtaining a result that can be written as a sum of gravitational blocks and precisely agrees with a field theory computation using anomaly polynomials and $c$-extremization.
Topics & Concepts
PhysicsSupergravityCentral chargeEquivariant mapGravitationBrane cosmologyComputationGravitational anomalyAnomaly (physics)Charge (physics)Mathematical physicsTheoretical physicsField theory (psychology)Extension (predicate logic)Field (mathematics)Pure mathematicsQuantum mechanicsGeometrySupersymmetryMathematicsAlgorithmIntroduction to the mathematics of general relativityConformal mapComputer scienceProgramming languageNumerical relativityBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNonlinear Waves and Solitons