A construction for R-matrices without difference property in the spectral parameter

Links, J (2000) A construction for R-matrices without difference property in the spectral parameter. Physics Letters A, 265 3: 194-206.

Document type: Journal Article
Collection: School of Physical Sciences Publications

Author(s) Links, J
Title A construction for R-matrices without difference property in the spectral parameter
Journal name Physics Letters A
Publication date 2000
Sub-type Article
Volume number 265
Issue number 3
ISSN 0375-9601
Start page 194
End page 206
Total pages 13
Place of publication North-Holland
Publisher Elsevier
Collection year 2000
Subject C1
240201 Theoretical Physics
780101 Mathematical sciences
010502 Integrable Systems (Classical and Quantum)
Abstract A new construction is given for obtaining R-matrices which solve the McGuire-Yang-Baxter equation in such a way that the spectral parameters do not possess the difference property. A discussion of the derivation of the supersymmetric U model for correlated electrons is given in this context, such that applied chemical potential and magentic field terms can be coupled arbitrarily. As a limiting case the Bariev model is obtained. (C) 2000 Elsevier Science B.V. All rights reserved.
Keyword(s) Physics, Multidisciplinary
Yang-baxter Equation
Dimensional Hubbard-model
Exact Integrability
Quantum Groups
Correlated Electrons
Hopf-algebras
Superalgebras
 
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