Lectures and Seminar Talks
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|21.07.2014||Eric Sharpe (Virginia Tech)
"Dualities in two-dimensional nonabelian (0,2) theories"
as part of the String Theory Seminar
14:00-15:00, SR, Phil 16
In this talk we will discuss various advances in Seiberg-like dualities in two-dimensional gauge theories with (2,2) and (0,2) supersymmetry. We begin with a quick review of the (2,2) supersymmetric CP^n model and nonabelian analogues, and review other (2,2) dualities, such as in gauge theories with both fundamentals and antifundamentals. In two dimensions, the gauge field has no dynamics, so it is possible to get a very concrete handle on IR behaviors, and also to see some phenomena one would not expect in four dimensions, such as dualities between abelian and nonabelian gauge theories. In addition, techniques such as supersymmetric localization enable for example exact partition function computations, which form a powerful tool for checking dualities, as we shall discuss. We then turn to (0,2) theories, review general aspects of (0,2) dynamical supersymmetry breaking, and then turn to examples, beginning with a simple picture that leads to the triality recently discussed by Gadde-Gukov-Putrov. If time permits, we will also discuss more complex (0,2) constructions, which have geometric interpretations in terms of Pfaffians.