A NEW ALGEBRAIC BETHE-ANSATZ FOR GL(2, 1) INVARIANT VERTEX MODELS

Authors
PFANNMULLER MP FRAHM H
Citation
Mp. Pfannmuller et H. Frahm, A NEW ALGEBRAIC BETHE-ANSATZ FOR GL(2, 1) INVARIANT VERTEX MODELS, Journal of physics. A, mathematical and general, 30(15), 1997, pp. 543-548
Citations number
17
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
30
Issue
15
Year of publication
1997
Pages
543 - 548
Database
ISI
SICI code
0305-4470(1997)30:15<543:ANABFG>2.0.ZU;2-V
Abstract
The algebraic Bethe ansatz for the integrable vertex model constructed from the four-dimensional [b, 1/2] representation of the superalgebra gl(2, 1) is calculated using a ferromagnetic reference state. This Be the ansatz was known only for the three-dimensional [1/2](+) represent ation leading to the supersymmetric t-J model. The necessary modificat ion of the nested algebraic Bethe ansatz scheme and generalizations to related models are discussed.