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PIRSA:17020125

Supersymmetry and Legendrian Knots

Beasley, C. (2017). Supersymmetry and Legendrian Knots. Perimeter Institute. https://pirsa.org/17020125

Chris Beasley

Northeastern University

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PIRSA:17020125
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Abstract

I will discuss a new class of supersymmetric Wilson loop operators in pure N=2 Yang-Mills-Chern-Simons theory. These Wilson loops preserve one supercharge on-shell and wrap arbitrary Legendrian knots in the standard contact R^3.  I will also explain a relation, motivated by a global picture of contact three-manifolds, between these loop operators and chiral current algebra in two dimensions.  This talk is directly related to, but independent of, my preceding Friday talk in the Mathematical Physics seminar.