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Elliptic Calogero-Moser system from two dimensional current algebra

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arxiv hep-th/9401021 v1 pith:5K4A362Z submitted 1994-01-06 hep-th

Alexander Gorsky , Nikita Nekrasov This is my paper · ORCID
classification hep-th
keywords ellipticsystemalgebracalogero-moserhamiltonianbundlecentralcotangent
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Time-Dependent Integrability from Gauge Theory, I

    hep-th 2026-07 accept novelty 7.5 of 10

    Spacetime-dependent 4d Chern-Simons theory generates time-dependent integrable field theories whose allowed time dependence coincides with one-loop RG flow while preserving Lax integrability.

  2. Quantum Elliptic Calogero-Moser Systems from Gauge Origami

    hep-th 2019-08 conditional novelty 7.0 of 10

    The gauge-origami folded instanton partition function yields the characteristic polynomial whose large-x expansion reproduces the commuting Hamiltonians of the elliptic double Calogero-Moser system.

  3. Classical elliptic integrable systems from the moduli space of instantons

    math-ph 2024-12 conditional novelty 4.0 of 10

    A review that derives Krichever's elliptic Calogero-Moser Lax matrix from qq-characters of instanton moduli spaces, with K-theoretic and elliptic counterparts, plus Lax eigenvectors from folded instantons.

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