A New Basis For Bethe Vectors Of The Heisenberg Model

Details A New Basis For Bethe Vectors Of The Heisenberg Model A New Basis For Bethe Vectors Of The Heisenberg Model

2001-01-09

arxiv.org/abs/nlin/0101017v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

To appear in the proceedings of the NATO workshop ``Dynamical Symmetries of Integrable Quantum Field Theories and Lattice Mode

Scientific paper

We present a detailed construction of a completely symmetric representation
of the monodromy matrix by the use of Drinfel'd twists for the rational $sl(3)$
Heisenberg model without refering to the special symmetry of the model. With
the help of this representation we are able to resolve the hierarchy of the
nested Bethe wavevectors for the $sl(3)$ invariant rational Heisenberg model.

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