Spin Chain Models with Spectral Curves from M Theory |
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Authors: | I Krichever D H Phong |
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Institution: | Department of Mathematics, Columbia University, New York, NY 10027, USA.?E-mail: krichev@math.columbia.edu; phong@math.columbia.edu, US
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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.
Received: 22 December 1999 / Accepted: 3 March 2000 |
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