Supersymmetric gauge theory and the Yangian Speaker(s): Kevin Costello
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 ChernSimons 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 spinchain integrable lattice model on an nbym
doublyperiodic lattice.
Date: 25/03/2013  11:00 am
Series: Colloquium
