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Communications in Mathematical Physics

, Volume 213, Issue 3, pp 539–574 | Cite as

Spin Chain Models with Spectral Curves from M Theory

  • I. Krichever
  • D. H. Phong

Abstract:

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.

Keywords

Soliton Gauge Theory Integrable Model Spin Chain Chain Model 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • I. Krichever
    • 1
  • D. H. Phong
    • 1
  1. 1.Department of Mathematics, Columbia University, New York, NY 10027, USA.¶E-mail: krichev@math.columbia.edu; phong@math.columbia.eduUS

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