Drinfel'd Twists and Algebraic Bethe Ansatz

Details Drinfel'd Twists and Algebraic Bethe Ansatz Drinfel'd Twists and Algebraic Bethe Ansatz

1996-12-10

arxiv.org/abs/q-alg/9612012v1

Physics

Condensed Matter

Statistical Mechanics

45 pages, latex

Scientific paper

We study representation theory of Drinfel'd twists, in terms of what we call F matrices, associated to finite dimensional irreducible modules of quantum affine algebras, and which factorize the corresponding (unitary) R matrices. We construct explicitly such factorizing F matrices for irreducible tensor products of the fundamental representations of the quantum affine algebra sl2 and its associated Yangian. We then apply these constructions to the XXX and XXZ quantum spins chains of finite length in the framework of the Algebraic Bethe Ansatz.

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