Bethe/Gauge Correspondence for ABCDEFG-type 3d Gauge Theories

Abstract

In this paper, we give a new effective superpotential that makes clear Bethe/Gauge correspondence between 2d (and 3d) $\text{SO/Sp}$ gauge theories and open $\text{XXX}$ (and $\text{XXZ}$) spin chains with diagonal boundary conditions, and also works in the case of 2d (and 3d) ${\text{BC}}_N$-type gauge theories which is not previously discussed in the literature. Especially, for exceptional Lie algebras ${\text{F}}_4$, ${\text{G}}_2$, we give the effective superpotential and vacuum equations. For ${\text{E}}_{6,7,8}$, we only give theirs effective superpotential for convenience.

33 pages, 0 figure, v2: minor revisions, v3: minor revisions

References in corpus (4)

• BPS/CFT correspondence II: Instantons at crossroads, Moduli and Compactness Theorem
• Higgs Bundles, Gauge Theories and Quantum Groups
• Quantum Spin Systems and Supersymmetric Gauge Theories, I
• Bethe/Gauge Correspondence for SO/Sp Gauge Theories and Open Spin Chains

Cited by in corpus (2)

• Bethe/Gauge Correspondence for linear quiver theories with ABCD gauge symmetry and spin chains
• Elliptic Stable Envelopes for Certain Non-Symplectic Varieties and Dynamical $R$-Matrices for Superspin Chains from the Bethe/Gauge Correspondence