The Gauge-Bethe Correspondence and Geometric Representation Theory

Details The Gauge-Bethe Correspondence and Geometric Representation Theory The Gauge-Bethe Correspondence and Geometric Representation Theory

2010-11-29

arxiv.org/abs/1011.6120v1

Physics

High Energy Physics

High Energy Physics - Theory

8 pages

Scientific paper

The Gauge/Bethe correspondence of Nekrasov and Shatashvili relates the spectrum of integrable spin chains to the ground states of supersymmetric gauge theories. Up to now, this correspondence has been an observation; the underlying reason for its existence remaining elusive. We argue here that geometrical representation theory is the mathematical foundation of the Gauge/Bethe correspondence, and it provides a framework to study families of gauge theories in a unified way.

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