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arXiv · 1011.6120

The Gauge-Bethe Correspondence and Geometric Representation Theory

Domenico Orlando·Susanne Reffert
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Abstract

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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Domenico Orlando, Susanne Reffert. 2010-11-29. The Gauge-Bethe Correspondence and Geometric Representation Theory. https://doi.org/10.1007/s11005-011-0526-5

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