Random Matrix Universality for Black Holes in Supergravity

Some aspects of the black hole spectrum, coming from spacetime wormhole contributions, can be modeled by a random matrix ensemble. It is important to understand the appropriate ensemble for theories with extended supersymmetry, since for example this is the case for systems with known gravity duals coming from string theory. Concretely, in this talk we will present a random matrix ensemble for quantum mechanics with two supercharges, and to illustrate the relation with black holes we will show that it is dual to N=2 JT gravity in AdS, after summing over wormholes.

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Affiliation

Member, School of Natural Sciences, IAS