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arXiv · hep-th/9912180

Spin Chain Models with Spectral Curves from M theory

I. Krichever·D. H. Phong
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Abstract

We construct the integrable model corresponding to the $\N=2$ supersymmetric SU(N) gauge theory with matter in the antisymmetric representation, using the spectral curve found by Landsteiner and Lopez through M Theory. The model turns out to be the Hamiltonian reduction of a $N+2$ periodic spin chain model, which is Hamiltonian with respect to the universal symplectic form we had constructed earlier for general soliton equations in the Lax or Zakharov-Shabat representation.

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I. Krichever, D. H. Phong. 1999-12-20. Spin Chain Models with Spectral Curves from M theory. https://doi.org/10.1007/pl00005531

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