PIRSA:19090099 Scientific Series Mathematical physics

DOI10.48660/19090099

Series: Mathematical Physics

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}}
}

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.

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