PIRSA:13030115

Supersymmetric gauge theory and the Yangian - continued

Costello, K. (2013). Supersymmetric gauge theory and the Yangian - continued. Perimeter Institute. https://pirsa.org/13030115

Costello, Kevin. Supersymmetric gauge theory and the Yangian - continued. Perimeter Institute, Mar. 26, 2013, https://pirsa.org/13030115 

          @misc{ pirsa_PIRSA:13030115,
            doi = {10.48660/13030115},
            url = {https://pirsa.org/13030115},
            author = {Costello, Kevin},
            keywords = {},
            language = {en},
            title = {Supersymmetric gauge theory and the Yangian - continued},
            publisher = {Perimeter Institute},
            year = {2013},
            month = {mar},
            note = {PIRSA:13030115 see, \url{https://pirsa.org}}
          }

Kevin Costello Perimeter Institute for Theoretical Physics

Talk numberPIRSA:13030115
DOI10.48660/13030115
Collection
Talk Type Scientific Series

Abstract

I'll explain a new connection between supersymmetric gauge theories and the Yangian. The main result is that a twisted, deformed version of the pure N=1 supersymmetric gauge theory is controlled by the Yangian, in the same way that Chern-Simons theory is controlled by the quantum group. This result is used to give an exact calculation, in perturbation theory, of the expectation value of a certain net of n+m Wilson operators in the deformed N=1 gauge theory. This expectation value coincides with the partition function of a spin-chain integrable lattice model on an n-by-m doubly-periodic lattice.