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N=2 Supersymmetric QCD and Integrable Spin Chains: Rational Case N_f < 2N_c

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arxiv hep-th/9603140 v1 pith:7YTLVR7Q submitted 1996-03-20 hep-th

A.Gorsky , A.Marshakov , A.Mironov , A.Morozov This is my paper · ORCID
classification hep-th
keywords spinchainchainsintegrablesupersymmetrictheoryagreementcase
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abstract

The form of the spectral curve for $4d$ $N=2$ supersymmetric Yang-Mills theory with matter fields in the fundamental representation of the gauge group suggests that its $1d$ integrable counterpart should be looked for among (inhomogeneous) $sl(2)$ spin chains with the length of the chain being equal to the number of colours $N_c$. For $N_f < 2N_c$ the relevant spin chain is the simplest $XXX$-model, and this identification is in agreement with the known results in Seiberg-Witten theory.

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Cited by 2 Pith papers

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  1. 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.

  2. Unified description of color-electric and color-magnetic strings in hybrid vacua of $\mathcal{N}=2$ supersymmetric QCD

    hep-th 2026-07 accept novelty 6.0 of 10

    Exact twisted superpotential on non-Abelian string world sheets in hybrid r-vacua yields precise matching of 2D kink masses to 4D confined monopoles and quarks.

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