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Integrability and Seiberg-Witten Exact Solution

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arxiv hep-th/9505035 v2 pith:MJW7JGGC submitted 1995-05-05 hep-th

A.Gorsky , I.Krichever , A.Marshakov , A.Mironov , A.Morozov This is my paper
classification hep-th
keywords solutionexactintegrableseiberg-wittensystemstheorywhithamactions
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abstract

The exact Seiberg-Witten (SW) description of the light sector in the $N=2$ SUSY $4d$ Yang-Mills theory is reformulated in terms of integrable systems and appears to be a Gurevich-Pitaevsky (GP) solution to the elliptic Whitham equations. We consider this as an implication that dynamical mechanism behind the SW solution is related to integrable systems on the moduli space of instantons. We emphasize the role of the Whitham theory as a possible substitute of the renormalization-group approach to the construction of low-energy effective actions.

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Cited by 3 Pith papers

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  1. Quasinormal Modes of Extremal Reissner-Nordstrom Black Holes via Seiberg-Witten Quantization

    hep-th 2026-03 unverdicted novelty 7.0 of 10

    Quasinormal-mode frequencies of extremal Reissner-Nordström black holes for charged and massive scalar fields are computed through Seiberg-Witten/Nekrasov-Shatashvili quantization.

  2. Dimers for Relativistic Toda Models with Reflective Boundaries

    hep-th 2025-10 unverdicted novelty 7.0 of 10

    Dimer graphs are constructed for relativistic Toda chains of listed Lie algebra types, and Seiberg-Witten curves of 5d N=1 pure SYM for group G are identified as spectral curves of the dual Toda chain for G^vee.

  3. Vershik-Kerov in higher times

    hep-th 2024-12 unverdicted novelty 7.0 of 10

    The limit shape in the double-elliptic generalization of the Vershik-Kerov problem is governed by a genus two algebraic curve.

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