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Quantum Black Holes, Localization, and Mock Modular Forms.

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If you have a question about this talk, please contact Dr Dorigoni .

There has been considerable progress recently in computing finite size quantum corrections to the Bekenstein-Hawking-Wald entropy for a class of black holes in string theory. These computations of `exact’ quantum entropy of black holes involve a new application of localization techniques in a gravitational context and reveal surprising connections with the fascinating mathematics of mock modular forms.

In the broader context of holography and the AdS/CFT correspondence, such finite size quantum gravity corrections correspond to finite N corrections in the gauge theory. I will outline why such corrections are interesting, how to compute them, and what we can learn from them.

This talk is part of the Quantum Fields and Strings Seminars series.

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