Spin Chain Models with Spectral Curves from M Theory

We construct the integrable model corresponding to the ?= 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.

Authors and Affiliations

1. Department of Mathematics, Columbia University, New York, NY 10027, USA.¶E-mail: krichev@math.columbia.edu; phong@math.columbia.edu, , , , , , US

   I. Krichever & D. H. Phong

Received: 22 December 1999 / Accepted: 3 March 2000

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