The Gauge-Bethe Correspondence and Geometric Representation Theory

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.

8 pages

References in corpus (2)

• A Shortcut to the Q-Operator
• Relating Gauge Theories via Gauge/Bethe Correspondence

Cited by in corpus (11)

• String theory of the Omega deformation
• The Omega Deformation From String and M-Theory
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• Deformed supersymmetric gauge theories from the fluxtrap background
• BPS States in the Duality Web of the Omega deformation
• Twisted Masses and Enhanced Symmetries: the A&D Series
• Bethe/Gauge Correspondence for ABCDEFG-type 3d Gauge Theories
• Solution of quantum integrable systems from quiver gauge theories
• The braneology of 3D dualities
• A stringy perspective on the quantum integrable model/gauge correspondence
• 4D/3D reduction of dualities: mirrors on the circle