Pith. sign in

REVIEW 3 cited by

Duality in Integrable Systems and Gauge Theories

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv hep-th/9906235 v4 pith:KOVH47UZ submitted 1999-06-29 hep-th

V. Fock , A. Gorsky , N. Nekrasov , V. Rubtsov This is my paper · ORCID
classification hep-th
keywords dualitiesintegrablesystemsdiscussgaugetheoriesvariousallow
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We discuss various dualities, relating integrable systems and show that these dualities are explained in the framework of Hamiltonian and Poisson reductions. The dualities we study shed some light on the known integrable systems as well as allow to construct new ones, double elliptic among them. We also discuss applications to the (supersymmetric) gauge theories in various dimensions.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 134 citations worldwide. Full citation record

  1. Rational Ruijsenaars-Schneider model with cosmological constant

    hep-th 2024-11 conditional novelty 7.0 of 10

    The rational Ruijsenaars-Schneider model admits a one-parameter deformation realizing the anti-de Sitter algebra, while the hyperbolic and trigonometric variants are incompatible.

  2. 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.

  3. Lectures on Gauge theories and Many-Body systems

    math-ph 2025-12 unverdicted novelty 2.0 of 10

    Lectures establish correspondences between SU(N) gauge theories and Calogero-Moser-Sutherland systems via Hamiltonian reduction in low dimensions and supersymmetric dualities with Omega-deformation in four to six dimensions.

Pith tools