PIRSA:13030115 Scientific Series

DOI10.48660/13030115

Series: Colloquium

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}}
}

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.

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