PIRSA:20010023

A deformation invariant of 1+1D SQFTs

APA

Johnson-Freyd, T. (2020). A deformation invariant of 1+1D SQFTs. Perimeter Institute. https://pirsa.org/20010023

MLA

Johnson-Freyd, Theo. A deformation invariant of 1+1D SQFTs. Perimeter Institute, Jan. 14, 2020, https://pirsa.org/20010023

BibTex

          @misc{ pirsa_20010023,
            doi = {10.48660/20010023},
            url = {https://pirsa.org/20010023},
            author = {Johnson-Freyd, Theo},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {A deformation invariant of 1+1D SQFTs},
            publisher = {Perimeter Institute},
            year = {2020},
            month = {jan},
            note = {PIRSA:20010023 see, \url{https://pirsa.org}}
          }
          

Theo Johnson-Freyd Dalhousie University

Abstract

The elliptic genus is a powerful deformation invariant of 1+1D SQFTs: if it is nonzero, then it protects the SQFT from admitting a deformation to one with spontaneous supersymmetry breaking. I will describe a "secondary" invariant, defined in terms of mock modularity, that goes beyond the elliptic genus, protecting SQFTs with vanishing elliptic genus. The existence of this invariant supports the hypothesis that the space of minimally supersymmetric 1+1D SQFTs provides a geometric model for universal elliptic cohomology. Based on joint works with D. Gaiotto and E. Witten.