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The Gauge-Bethe Correspondence and Geometric Representation Theory

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arxiv 1011.6120 v1 pith:IFT6FBO4 submitted 2010-11-29 hep-th

Domenico Orlando , Susanne Reffert This is my paper · ORCID
classification hep-th
keywords correspondencegaugebetherepresentationtheoriestheoryarguebeen
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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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  1. Spin Chain Integrability as a Supersymmetric Gauge Duality

    hep-th 2025-06 reject novelty 4.0 of 10

    The paper constructs dictionaries equating the vacuum equations of 4D N=1 BCD-type gauge theories on D^2×T^2 with the Bethe ansatz equations of open XYZ spin chains by fixing mass and boundary parameters to force the match.

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