Relating Gauge Theories via Gauge/Bethe Correspondence

Abstract

In this note, we use techniques from integrable systems to study relations between gauge theories. The Gauge/Bethe correspondence, introduced by Nekrasov and Shatashvili, identifies the supersymmetric ground states of an N=(2,2) supersymmetric gauge theory in two dimensions with the Bethe states of a quantum integrable system. We make use of this correspondence to relate three different quiver gauge theories which correspond to three different formulations of the Bethe equations of an integrable spin chain called the tJ model.

30 pages, published in JHEP. LaTeX problem corrected

References in corpus (3)

• Supersymmetric Bethe Ansatz and Baxter Equations from Discrete Hirota Dynamics
• Relating Field Theories via Stochastic Quantization
• Quantum Crystals and Spin Chains

Cited by in corpus (6)

• Superspin chains from superstring theory
• A-twisted correlators and Hori dualities
• 5d AGT correspondence of supergroup gauge theories from quantum toroidal ${\mathfrak{gl}}_1$
• Bethe-State Counting and the Witten Index
• Orthosymplectic Superinstanton Counting and Brane Dynamics
• Elliptic Stable Envelopes for Certain Non-Symplectic Varieties and Dynamical $R$-Matrices for Superspin Chains from the Bethe/Gauge Correspondence