Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series RENC-THEO
Subjects hep-th
Date Thursday 26 November 2020
Time 11:00
Institute IHP
Seminar Room Zoom: https://zoom.us/j/94637137722 (pwd=1234)
Speaker's Last Name Benini
Speaker's First Name Francesco
Speaker's Email Address
Speaker's Institution SISSA
Title Superconformal index and gravitational path-integral
Abstract AdS/CFT provides a consistent non-perturbative definition of quantum gravity in asymptotically AdS spacetimes. Black holes should correspond to ensembles of states in the boundary field theory. By performing a careful analysis of the superconformal index of 4d N=4 SU(N) Super-Yang-Mills theory, with the help of a Bethe Ansatz type formula, we are able to exactly reproduce the Bekenstein-Hawking entropy of BPS black holes in AdS5 x S5. The large N limit exhibits many competing contributions, that we are able to identify with complex saddles of the (putative) gravitational path-integral. Along the way we propose a necessary condition for complex saddles to contribute, based on the size of their non-perturbative corrections. Such a prescription exactly matches the field theory analysis.
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