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Quantum gravity and exact holography

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

I will show how to use localization in supergravity to compute exactly the free energy on AdS space and show the holographic correspondence beyond the large N limit. As an example, Ill consider the computation of AdS2 partition function which computes the number of states of a supersymmetric black hole. After an intricated sum over geometries and topologies guided by number theoretic objects we obtain integrality of the answer. Ill also show how to extend these techniques to AdS4/ABJM correspondence to compute exactly in N and lambda in the bulk the perturbative partition function which is given by an Airy function.

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

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