eCite Digital Repository

Twisted quantum affine superalgebra U-q[sl(2/2)((2))], U-q[osp(2/2)] invariant R-matrices and a new integrable electronic model

Citation

Gould, MD and Links, JR and Zhang, YZ and Tsohantjis, I, Twisted quantum affine superalgebra U-q[sl(2/2)((2))], U-q[osp(2/2)] invariant R-matrices and a new integrable electronic model, Journal of Physics A, 30, (12) pp. 4313-4325. ISSN 0305-4470 (1997) [Refereed Article]

DOI: doi:10.1088/0305-4470/30/12/018

Abstract

We describe the twisted affine superalgebra sl(2|2)(2) and its quantized version Uq[sl(2|2)(2)]. We investigate the tensor product representation of the four-dimensional grade star representation for the fixed-point subsuperalgebra Uq[osp(2|2)]. We work out the tensor product decomposition explicitly and find that the decomposition is not completely reducible. Associated with this four-dimensional grade star representation we derive two Uq[osp(2|2)] invariant R-matrices: one of them corresponds to Uq[sl(2|2)(2)] and the other to Uq[osp(2|2)(1)]. Using the R-matrix for Uq[sl(2|2)(2)], we construct a new Uq[osp(2|2)] invariant strongly correlated electronic model, which is integrable in one dimension. Interestingly this model reduces in the q = 1 limit, to the one proposed by Essler et al which has a larger sl(2|2) symmetry.

Item Details

Item Type:Refereed Article
Research Division:Physical Sciences
Research Group:Other Physical Sciences
Research Field:Physical Sciences not elsewhere classified
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Physical Sciences
Author:Tsohantjis, I (Dr Ioannis Tsohantjis)
ID Code:10605
Year Published:1997
Web of Science® Times Cited:24
Deposited By:Physics
Deposited On:1997-08-01
Last Modified:2011-08-11
Downloads:0

Repository Staff Only: item control page