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High Energy Theory Seminar

Friday, May 15, 2020
11:00am to 12:00pm
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Online Event
Holographic duals of refined partition functions
Chiara Toldo, Ecole Polytechnique, Zoom meeting ID 795 527 605

Recently there has been lots of progress in computing the partition function of 3d SCFTs on closed manifolds via supersymmetric localization. I will provide examples of dual supergravity solutions having as conformal boundary such manifolds. I will start with the simple case where the bulk geometry is a static AdS black hole, showing how the microstate counting in the dual field theory accounts for black hole entropy. Then I will describe solutions having as boundary a circle bundle over closed 2d Riemann surface (AdS-Taub-NUT and AdS-Taub-Bolt) and I will show the matching of their on-shell action with the large N limit of the partition function of the dual CFT. I will finally discuss some recent results for a third challenging example, which involves the refinement by angular momentum.

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