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On Elliptic Algebras and Large-n Supersymmetric Gauge Theories

QMAP Seminar

Speaker: Peter Koroteev, UC Davis
Location: 2112 MSB
Start time: Thu, May 19 2016, 3:10PM

We study the duality between supersymmetric gauge theories in various dimensions and elliptic integrable systems such as Ruijsenaars-Schneider model and periodic intermediate long wave hydrodynamics. These models arise in instanton counting problems and are described by certain elliptic algebras. We discuss the correspondence between the two types of models by employing the large-n limit of the dual gauge theory. In particular we provide non-Abelian generalization of our previous result on the intermediate long wave model.