Q-power function over Q-commuting variables and deformed XXX, XXZ chains
Quantum Algebra
2009-10-31 v1
Abstract
We find certain functional identities for the Gauss q-power function of a sum of q-commuting variables. Then we use these identities to obtain two-parameter twists of the quantum affine algebra U_q (\hat{sl}_2) and of the Yangian Y(sl_2). We determine the corresponding deformed trigonometric and rational quantum R-matrices, which then are used in the computation of deformed XXX and XXZ Hamiltonians.
Cite
@article{arxiv.math/0012207,
title = {Q-power function over Q-commuting variables and deformed XXX, XXZ chains},
author = {S. Khoroshkin and A. Stolin and V. Tolstoy},
journal= {arXiv preprint arXiv:math/0012207},
year = {2009}
}
Comments
LaTeX, 12 pages