MS Seminar (Mathematics - String Theory)

Speaker: Chiara Toldo (KITP, UCSB)
Title: Supersymmetric Bolt solutions and their free energy via susy localization
Date: Thu, Jul 05, 2018, 13:15 - 14:30
Place: Seminar Room B
Related File: 2071.pdf
Abstract: The partition function of three-dimensional N=2 SCFTs on circle bundles of closed Riemann surfaces \Sigma_g was recently computed via supersymmetric localization in arXiv:1701.03171. In this talk I will describe supergravity solutions having as conformal boundary such circle bundle. These configurations are solutions to N=2 minimal gauged supergravity in 4d and pertain to the class of AdS-Taub-NUT and AdS-Taub-Bolt preserving 1/4 of the supersymmetries. I will discuss the conditions for the uplift of these solutions to M-theory and I provide the expression for the on-shell action of the Bolt solutions, computed via holographic renormalization. I will show that, when the uplift condition is satisfied, the Bolt free energy matches with the large N limit of the partition function of the corresponding dual field theory.
I will finally comment on possible subtleties that arise in our framework when a given boundary geometry admits multiple bulk fillings.