AdS black holes, holography and localization
Alberto Zaffaroni
Abstract
Abstract I review some recent progresses in counting the number of microstates of AdS supersymmetric black holes in dimension equal or greater than four using holography. The counting is obtained by applying localization and matrix model techniques to the dual field theory. I cover in details the case of dyonic AdS $$_4$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mrow/><mml:mn>4</mml:mn></mml:msub></mml:math> black holes, corresponding to a twisted compactification of the dual field theory, and I discuss the state of the art for rotating AdS $$_5$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mrow/><mml:mn>5</mml:mn></mml:msub></mml:math> black holes.
Topics & Concepts
PhysicsCompactification (mathematics)HolographyDimension (graph theory)Field (mathematics)Theoretical physicsBlack hole (networking)Dual (grammatical number)Cover (algebra)Matrix (chemical analysis)OpticsMatrix modelExtra dimensionsQuantum mechanicsKaluza–Klein theoryDuality (order theory)Classical mechanicsBinary numberSupersymmetryState (computer science)Quantum opticsAdS black holePhoton countingBlack Holes and Theoretical PhysicsAlgebraic Geometry and Number TheoryGeometry and complex manifolds