Fusion rules for Quantum Transfer Matrices as a Dynamical System on Grassmann Manifolds

Details Fusion rules for Quantum Transfer Matrices as a Dynamical System on Grassmann Manifolds Fusion rules for Quantum Transfer Matrices as a Dynamical System on Grassmann Manifolds

1997-04-22

arxiv.org/abs/solv-int/9704015v1

Mod.Phys.Lett. A12 (1997) 1369-1378

Physics

High Energy Physics

High Energy Physics - Theory

LaTex (MPLA macros included) 10 pages, 1 figure, included in the text

Scientific paper

10.1142/S0217732397001394

We show that the set of transfer matrices of an arbitrary fusion type for an integrable quantum model obey these bilinear functional relations, which are identified with an integrable dynamical system on a Grassmann manifold (higher Hirota equation). The bilinear relations were previously known for a particular class of transfer matrices corresponding to rectangular Young diagrams. We extend this result for general Young diagrams. A general solution of the bilinear equations is presented.

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