PIRSA:18080059

Higher operations in supersymmetric field theory

Neitzke, A. (2018). Higher operations in supersymmetric field theory . Perimeter Institute. https://pirsa.org/18080059

Neitzke, Andrew. Higher operations in supersymmetric field theory . Perimeter Institute, Aug. 15, 2018, https://pirsa.org/18080059 

          @misc{ pirsa_PIRSA:18080059,
            doi = {10.48660/18080059},
            url = {https://pirsa.org/18080059},
            author = {Neitzke, Andrew},
            keywords = {Mathematical physics},
            language = {en},
            title = {Higher operations in supersymmetric field theory },
            publisher = {Perimeter Institute},
            year = {2018},
            month = {aug},
            note = {PIRSA:18080059 see, \url{https://pirsa.org}}
          }

Andrew Neitzke The University of Texas at Austin

DOI 10.48660/18080059
Collection
Talk Type Conference
Subject

Abstract

I will review the construction of “higher operations” on local and extended operators in topological field theory, and some applications of this construction in supersymmetric field theory. In particular, the higher operation on supersymmetric local operators in a 3d N=4 theory turns out to be induced by the holomorphic Poisson structure on the moduli space of the theory. This leads to a new way of establishing the non-renormalization properties of this Poisson structure, and also to a simple topological reason for the appearance of its deformation quantization when the theory is placed in Omega-background. This is an account of joint work with Christopher Beem, DavidB en-Zvi, Mathew Bullimore, and Tudor Dimofte.