Superspin chains and supersymmetric gauge theories

Abstract

We discuss the possible extensions of Bethe/gauge correspondence to quantum integrable systems based on the super-Lie algebras of A type. Along the way we propose the analogues of Nakajima quiver varieties whose cohomology and K-theory should carry the representations of the corresponding Yangian and the quantum affine algebras, respectively. We end up with comments on the N=4 planar super-Yang-Mills theory in four dimensions.

19 pages

References in corpus (16)

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• Quantum Deformations of the One-Dimensional Hubbard Model
• On the Singularities of the Magnon S-matrix
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Cited by in corpus (17)

• Intersecting defects in gauge theory, quantum spin chains, and Knizhnik-Zamolodchikov equations
• Higgsed network calculus
• Superspin chains from superstring theory
• Completeness of Wronskian Bethe equations for rational gl(m|n) spin chains
• Intersecting Defects and Supergroup Gauge Theory
• 't Hooft lines of ADE-type and Topological Quivers
• Super instanton counting and localization
• 5d AGT correspondence of supergroup gauge theories from quantum toroidal ${\mathfrak{gl}}_1$
• Quantum Integrable Systems from Supergroup Gauge Theories
• Topological Vertex/anti-Vertex and Supergroup Gauge Theory
• Bethe-State Counting and the Witten Index
• Irregular conformal blocks, Painlevé III and the blow-up equations
• Integrable 3D lattice model in M-theory
• Orthosymplectic Superinstanton Counting and Brane Dynamics
• On Bethe eigenvectors and higher transfer matrices for supersymmetric spin chains
• Generalized Calogero-Moser system and supergroup gauge origami
• The Dynamical equations for $\mathfrak{gl}(n|m)$