Drinfel'd Twists and Algebraic Bethe Ansatz
q-alg
2016-11-08 v1 Statistical Mechanics
High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Algebra
Abstract
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.
Cite
@article{arxiv.q-alg/9612012,
title = {Drinfel'd Twists and Algebraic Bethe Ansatz},
author = {J. M. Maillet and J. Sanchez de Santos},
journal= {arXiv preprint arXiv:q-alg/9612012},
year = {2016}
}
Comments
45 pages, latex