NUTs and Bolts: free energy via susy localization


Toldo, C. (2019). NUTs and Bolts: free energy via susy localization. Perimeter Institute. https://pirsa.org/19050013


Toldo, Chiara. NUTs and Bolts: free energy via susy localization. Perimeter Institute, May. 10, 2019, https://pirsa.org/19050013


          @misc{ pirsa_19050013,
            doi = {},
            url = {https://pirsa.org/19050013},
            author = {Toldo, Chiara},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {NUTs and Bolts: free energy via susy localization},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {may},
            note = {PIRSA:19050013 see, \url{https://pirsa.org}}


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 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.