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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