PIRSA:13100130

The Geometry of Supersymmetric Partition Functions

APA

Festuccia, G. (2013). The Geometry of Supersymmetric Partition Functions. Perimeter Institute for Theoretical Physics. https://pirsa.org/13100130

MLA

Festuccia, Guido. The Geometry of Supersymmetric Partition Functions. Perimeter Institute for Theoretical Physics, Oct. 29, 2013, https://pirsa.org/13100130

BibTex

          @misc{ scivideos_PIRSA:13100130,
            doi = {10.48660/13100130},
            url = {https://pirsa.org/13100130},
            author = {Festuccia, Guido},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {The Geometry of Supersymmetric Partition Functions},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2013},
            month = {oct},
            note = {PIRSA:13100130 see, \url{https://scivideos.org/index.php/pirsa/13100130}}
          }
          

Guido Festuccia Institute for Advanced Study (IAS) - School of Mathematics

Talk numberPIRSA:13100130
Source RepositoryPIRSA

Abstract

Three-dimensional N=2 theories with a U(1)_R symmetry, can be placed on a compact three manifold M preserving some supersymmetry if and only if M admits a transversely holomorphic foliation (THF). I will show that the partition function of the resulting theory is independent of the metric and depends holomorphically on the moduli of the THF. When applied to supersymmetric field theories on manifolds diffeomorphic to S^3 and S^2 x S^1, this result explains many of the properties observed in explicit determinations of their partition functions.