Spin Chain Models with Spectral Curves from M theory

Details Spin Chain Models with Spectral Curves from M theory Spin Chain Models with Spectral Curves from M theory

1999-12-20

arxiv.org/abs/hep-th/9912180v1

Commun.Math.Phys.213:539-574,2000

Physics

High Energy Physics

High Energy Physics - Theory

39 pages, Latex

Scientific paper

10.1007/PL00005531

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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