Elliptic Calogero-Moser system from two dimensional current algebra

1994/01/06 by A. Gorsky, Alexander Gorsky, Gorsky, Alexander +2 · 6 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9401021

8 pages, Tex

arxiv created 1994/01/06 · openalex publication_date 1994/01/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that elliptic Calogero-Moser system and its Lax operator found by Krichever can be obtained by Hamiltonian reduction from the integrable Hamiltonian system on the cotangent bundle to the central extension of the algebra of SL(N,C) currents.Elliptic deformation of Yang-Mills theory is presented.

Cited by

• Large N limit of integrable models
• Gauge theories, Simple Groups and Integrable Systems
• Elliptic Families of Solutions of the Kadomtsev-Petviashvili Equation and the Field Elliptic Calogero-Moser System
• BPS/CFT correspondence V: BPZ and KZ equations from qq-characters
• Lax Pairs and Spectral Curves for Calogero-Moser and Spin Calogero-Moser Systems
• D-Bundles and Integrable Hierarchies

Related

• Lax Pairs and Spectral Curves for Calogero-Moser and Spin Calogero-Moser Systems
• The nondynamical r-matrix structure of the elliptic Calogero-Moser model
• Correspondence between Calogero-Moser systems and integrable SL(N,ℂ) Euler-Arnold tops
• Elliptic solutions to difference non-linear equations and nested Bethe ansatz equations
• Geometric construction of the classical R-matrices for the elliptic and trigonometric Calogero-Moser systems