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Quantum Entropy, Entanglement and Black holes

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BLH - Black holes: bridges between number theory and holographic quantum information

In the first part, I review progress over the past decade and more recent one in computing the exact quantum entropy of certain supersymmetric black holes including all perturbative and non-perturbative corrections to the Bekenstein-Hawking entropy in precise agreement with integral microscopic degeneracies.  The agreement requires a nontrivial interplay between topics in number theory such the Rademacher expansion and Kloosterman sums and topics field theory such as localization in supergravity and Chern-Simons theory. In the second part, I describe recent results in defining  classical and quantum entanglement entropy in string theory using the orbifold method and discuss the physical motivations from holography and black hole physics.

This talk is part of the Isaac Newton Institute Seminar Series series.

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