Video URL
https://pirsa.org/19050013NUTs and Bolts: free energy via susy localization
APA
Toldo, C. (2019). NUTs and Bolts: free energy via susy localization. Perimeter Institute for Theoretical Physics. https://pirsa.org/19050013
MLA
Toldo, Chiara. NUTs and Bolts: free energy via susy localization. Perimeter Institute for Theoretical Physics, May. 10, 2019, https://pirsa.org/19050013
BibTex
@misc{ scivideos_PIRSA:19050013, doi = {10.48660/19050013}, 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 for Theoretical Physics}, year = {2019}, month = {may}, note = {PIRSA:19050013 see, \url{https://scivideos.org/pirsa/19050013}} }
Chiara Toldo Ecole Polytechnique - CPHT
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 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.