PIRSA:19090099

Equivariant Localization in Factorization Homology and Vertex Algebras from Supersymmetric Gauge Theory

Butson, D. (2019). Equivariant Localization in Factorization Homology and Vertex Algebras from Supersymmetric Gauge Theory. Perimeter Institute. https://pirsa.org/19090099

Butson, Dylan. Equivariant Localization in Factorization Homology and Vertex Algebras from Supersymmetric Gauge Theory. Perimeter Institute, Sep. 12, 2019, https://pirsa.org/19090099 

          @misc{ pirsa_PIRSA:19090099,
            doi = {10.48660/19090099},
            url = {https://pirsa.org/19090099},
            author = {Butson, Dylan},
            keywords = {Mathematical physics},
            language = {en},
            title = {Equivariant Localization in Factorization Homology and Vertex Algebras from Supersymmetric Gauge Theory},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {sep},
            note = {PIRSA:19090099 see, \url{https://pirsa.org}}
          }

Dylan Butson University of Oxford

Talk numberPIRSA:19090099
DOI10.48660/19090099
Collection
Talk Type Scientific Series
Subject

Abstract

I will discuss recent developments in describing the chiral algebras associated to 4d N=2 theories introduced by Beem et al. in terms of Omega backgrounds, and give a description of the class S chiral algebras following this perspective, in terms of boundary conditions, interfaces, and junctions in 4d N=4 SYM.

 

Then, I will present work in progress on a general TFT-type procedure for calculating the factorization algebras describing 2d CFTs which arise as compactifications of such configurations. I will show that this method correctly computes the class S chiral algebras, matching the construction of Arakawa, and discuss potential applications to computing the vertex algebras associated to toric divisors in toric CY3s, following Gaiotto-Rapcak.