Generalized Calogero-Moser system and supergroup gauge origami

Abstract

We study the integrability and the Bethe/Gauge correspondence of the Generalized Calogero-Moser system proposed by Berntson, Langmann and Lenells which we call the elliptic quadruple Calogero-Moser system (eqCM). We write down the Dunkl operators which give commuting Hamiltonians of the quantum integrable system. We identify the gauge theory in correspondence is a supergroup version of the gauge origami, from which we construct the transfer matrix of the eqCM system.

arXiv comment28+4 pages. hyperlink fixed, add reference. arXiv admin note: text overlap with arXiv:1908.04928

References in corpus (32)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• The N=4 SYM Integrable Super Spin Chain
• Supersymmetric Yang-Mills Systems And Integrable Systems
• Supersymmetric vacua and Bethe ansatz
• Integrable systems and supersymmetric gauge theory
• Darboux coordinates, Yang-Yang functional, and gauge theory
• Holomorphic Bundles and Many-Body Systems
• Calogero-Moser Systems in SU(N) Seiberg-Witten Theory
• Deformed quantum Calogero-Moser problems and Lie superalgebras
• Branes And Supergroups
• BPS/CFT correspondence II: Instantons at crossroads, Moduli and Compactness Theorem
• BPS/CFT Correspondence III: Gauge Origami partition function and qq-characters
• BPS/CFT correspondence IV: sigma models and defects in gauge theory
• Spiked Instantons from Intersecting D-branes
• Opers, surface defects, and Yang-Yang functional
• Finite type modules and Bethe Ansatz for quantum toroidal gl(1)
• Magnificent Four with Colors
• Chern-Simons-Rozansky-Witten topological field theory
• Superspace conformal field theory
• A 5d/3d duality from relativistic integrable system
• Non-chiral Intermediate Long Wave equation and inter-edge effects in narrow quantum Hall systems
• Superanalogs of the Calogero operators and Jack polynomials
• Superspin chains and supersymmetric gauge theories
• Quantum Elliptic Calogero-Moser Systems from Gauge Origami
• Intersecting Defects and Supergroup Gauge Theory
• Orthogonality of super-Jack polynomials and a Hilbert space interpretation of deformed Calogero-Moser-Sutherland operators
• Dynkin Diagrams and Integrable Models Based on Lie Superalgebras
• On classical $Z_2\times Z_2$-graded Lie algebras
• Orthosymplectic $Z_2\times Z_2$-graded Lie superalgebras and parastatistics
• Matrix supergroup Chern-Simons models for vortex-antivortex systems
• Orthosymplectic Superinstanton Counting and Brane Dynamics