PIRSA:15110015

Video URL

https://pirsa.org/15110015

Universal Properties of Cylinder Partition Functions

(2015). Universal Properties of Cylinder Partition Functions. Perimeter Institute for Theoretical Physics. https://pirsa.org/15110015

Universal Properties of Cylinder Partition Functions. Perimeter Institute for Theoretical Physics, Nov. 17, 2015, https://pirsa.org/15110015 

          @misc{ scivideos_PIRSA:15110015,
            doi = {10.48660/15110015},
            url = {https://pirsa.org/15110015},
            author = {},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Universal Properties of Cylinder Partition Functions},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2015},
            month = {nov},
            note = {PIRSA:15110015 see, \url{https://scivideos.org/pirsa/15110015}}
          }
Talk numberPIRSA:15110015
DOI10.48660/15110015
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

We consider 4d N=1 superconformal theories on a cylinder. The partition function on this geometry computes the superconformal index, and can be obtained via the path integral with time direction compactified on a circle and periodic conditions for fermions. We will describe universal formulas for the asymptotics of such partition functions in the limit of very large circle and of very small circle. These limits are completely fixed in terms of coefficients of the Weyl anomaly (a,c). We will explain why supersymmetry is a necessary condition in 4d to establish these higher dimensional analogues of classic results in 2d CFTs. Finally we will discuss some applications and the extension to 6d.