Algebraic Bethe ansatz for the elliptic quantum group E-tau,E-eta(sl(n)) and its applications

Hou, B. Y., Sasaki, R. and Yang, W. L. (2003) Algebraic Bethe ansatz for the elliptic quantum group E-tau,E-eta(sl(n)) and its applications. Nuclear Physics B, 663 3: 467-486. doi:10.1016/S0550-3213(03)00390-0


Author Hou, B. Y.
Sasaki, R.
Yang, W. L.
Title Algebraic Bethe ansatz for the elliptic quantum group E-tau,E-eta(sl(n)) and its applications
Journal name Nuclear Physics B   Check publisher's open access policy
ISSN 0550-3213
Publication date 2003-01-01
Sub-type Article (original research)
DOI 10.1016/S0550-3213(03)00390-0
Open Access Status DOI
Volume 663
Issue 3
Start page 467
End page 486
Total pages 20
Place of publication Amsterdam
Publisher Elsevier Science Bv
Language eng
Subject 02 Physical Sciences
Abstract We study the tensor product of the higher spin representations (see the definition in Section 2.2) of the elliptic quantum group E-tau,E-eta(sL(n)). The transfer matrices associated with the E-tau,E-eta (sl(n))-module are exactly diagonalized by the nested Bethe ansatz method. Some special cases of the construction dive the exact solution for the Z(n) Belavin model and for the ellipticA(n-1) Ruijsenaars-Schneider model. (C) 2003 Elsevier B.V. All rights reserved.
Keyword Physics, Particles & Fields
integrable models
elliptic quantum group
Bethe ansatz
Z(n) Belavin model
Ruijsenaars-Schneider model
Anisotropic Heisenberg Chain
Ruijsenaars-schneider Model
Solvable Lattice Models
Yang-baxter Equation
Nondynamic R-matrix
Sklyanin Algebra
8-vertex Model
Systems
Representations
Eigenvectors
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collections: Excellence in Research Australia (ERA) - Collection
School of Physical Sciences Publications
 
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Created: Sat, 26 Jan 2008, 01:58:15 EST