Bethe/Gauge Correspondence for SO/Sp Gauge Theories and Open Spin Chains

Abstract

In this article, we extend the work of arXiv:0901.4744 to a Bethe/Gauge correspondence between 2d (or resp. 3d) SO/Sp gauge theories and open XXX (resp. XXZ) spin chains with diagonal boundary conditions. The case of linear quiver gauge theories is also considered.

arXiv comment27+11 pages; minor modification made in v2

References in corpus (33)

• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Webs of (p,q) 5-branes, Five Dimensional Field Theories and Grid Diagrams
• Supersymmetric vacua and Bethe ansatz
• Integrable systems and supersymmetric gauge theory
• Quantization of Integrable Systems and Four Dimensional Gauge Theories
• Quantum integrability and supersymmetric vacua
• M-Strings
• Branes and N=2 Theories in Two Dimensions
• BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and qq-characters
• Quantum Algebraic Approach to Refined Topological Vertex
• The BPS Spectra of Gauge Theories in Two and Four Dimensions
• Exact Results in Supersymmetric Field Theories on Manifolds with Boundaries
• Quiver W-algebras
• Pseudo-differential equations, and the Bethe Ansatz for the classical Lie algebras
• Algebraic Bethe ansatz for eight vertex model with general open-boundary conditions
• Quantization of Integrable Systems and a 2d/4d Duality
• A New 2d/4d Duality via Integrability
• Quiver elliptic W-algebras
• From SO/Sp instantons to W-algebra blocks
• Fractional quiver W-algebras
• A 5d/3d duality from relativistic integrable system
• Localization of 4d $\mathcal{N}=1$ theories on ${\mathbb{D}}^2\times {\mathbb{T}}^2$
• Expanding the Bethe/Gauge Dictionary
• On Three-Dimensional Quiver Gauge Theories of Type B
• Fiber-base duality from the algebraic perspective
• On the Quantization of Seiberg-Witten Geometry
• Web Construction of ABCDEFG and Affine Quiver Gauge Theories
• An Elliptic Vertex of Awata-Feigin-Shiraishi type for M-strings
• Quantum integrability from non-simply laced quiver gauge theory
• Quiver varieties and tensor products, II
• Branes and 2d N=(2,2) gauge theories with orthogonal and symplectic groups
• Partition Functions of $\mathcal{N}=1$ Gauge Theories on $S^2\times {\mathbb{R}}_{\epsilon }^2$ and Duality
• Bethe states of the trigonometric SU(3) spin chain with generic open boundaries

Cited by in corpus (7)

• Rational $Q$-systems, Higgsing and Mirror Symmetry
• Bethe-State Counting and the Witten Index
• Bethe/Gauge Correspondence for ABCDEFG-type 3d Gauge Theories
• Defects and type D relativistic Toda lattice for some 5d gauge theories
• Counting Bethe States in Twisted Spin Chains
• Bethe/Gauge Correspondence for $A_N$ Spin Chains with Integrable Boundaries
• Bethe/Gauge correspodence: a short review on an aspect of the integrability nature of supersymmetric gauge theories