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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 |
| UTAS Author: | Tsohantjis, I (Dr Ioannis Tsohantjis) |
| ID Code: | 10605 |
| Year Published: | 1997 |
| Web of Science® Times Cited: | 26 |
| Deposited By: | Physics |
| Deposited On: | 1997-08-01 |
| Last Modified: | 2011-08-11 |
| Downloads: | 0 |
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