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

Gould, MD, Links, JR, Zhang, YZ and Tsohantjis, I (1997) 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-mathematical And General, 30 12: 4313-4325. doi:10.1088/0305-4470/30/12/018


Author Gould, MD
Links, JR
Zhang, YZ
Tsohantjis, I
Title 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 name Journal of Physics A-mathematical And General   Check publisher's open access policy
ISSN 0305-4470
Publication date 1997-01-01
Year available 1997
Sub-type Article (original research)
DOI 10.1088/0305-4470/30/12/018
Open Access Status DOI
Volume 30
Issue 12
Start page 4313
End page 4325
Total pages 13
Place of publication BRISTOL
Publisher IOP PUBLISHING LTD
Language eng
Abstract We describe the twisted affine superalgebra sl(2\2)((2)) and its quantized version U-q[sl(2\2)((2))]. We investigate the tensor product representation of the four-dimensional grade star representation for the fixed-point sub superalgebra U-q[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 U-q[osp(2\2)] invariant R-matrices: one of them corresponds to U-q [sl(2\2)(2)] and the other to U-q [osp(2\2)((1))]. Using the R-matrix for U-q[sl(2\2)((2))], we construct a new U-q[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.
Keyword Physics, Multidisciplinary
Physics, Mathematical
Yang-baxter Equation
T-j-model
Strongly Correlated Electrons
Exactly Solvable Model
One-dimension
Algebras
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Physical Sciences Publications
 
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Created: Tue, 14 Aug 2007, 02:52:52 EST