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Supersymmetric gauge theory and the Yangian



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Recording Details

Speaker(s): 
Collection/Series: 
PIRSA Number: 
13030114

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.