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.
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Received: 22 December 1999 / Accepted: 3 March 2000
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Krichever, I., Phong, D. Spin Chain Models with Spectral Curves from M Theory. Commun. Math. Phys. 213, 539–574 (2000). https://doi.org/10.1007/PL00005531
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DOI: https://doi.org/10.1007/PL00005531