ALGEBRAIC BETHE-ANSATZ FOR THE ELLIPTIC QUANTUM GROUP E-TAU,ETA(SL(2))

Authors
FELDER G VARCHENKO A
Citation
G. Felder et A. Varchenko, ALGEBRAIC BETHE-ANSATZ FOR THE ELLIPTIC QUANTUM GROUP E-TAU,ETA(SL(2)), Nuclear physics. B, 480(1-2), 1996, pp. 485-503
Citations number
17
Categorie Soggetti
Physics, Nuclear
Journal title
Nuclear physics. B → ACNP
ISSN journal
05503213
Volume
480
Issue
1-2
Year of publication
1996
Pages
485 - 503
Database
ISI
SICI code
0550-3213(1996)480:1-2<485:ABFTEQ>2.0.ZU;2-I
Abstract
To each representation of the elliptic quantum group E(tau,eta)(sl(2)) is associated a family of commuting transfer matrices. We give common eigenvectors by a version of the algebraic Bethe ansatz method, Speci al cases of this construction give eigenvectors for IRF models, for th e eight-vertex model and for the two-body Ruijsenaars operator. The la tter is a q-deformation of Hermite's solution of the Lame equation.