RUIJSENAARS-MACDONALD-TYPE DIFFERENCE-OPERATORS FROM Z(N) BELAVIN MODEL WITH OPEN BOUNDARY-CONDITIONS

Authors
HOU BY SHI KJ WANG YS ZHAO L
Citation
By. Hou et al., RUIJSENAARS-MACDONALD-TYPE DIFFERENCE-OPERATORS FROM Z(N) BELAVIN MODEL WITH OPEN BOUNDARY-CONDITIONS, Journal of physics. A, mathematical and general, 31(28), 1998, pp. 5911-5923
Citations number
41
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
31
Issue
28
Year of publication
1998
Pages
5911 - 5923
Database
ISI
SICI code
0305-4470(1998)31:28<5911:RDFZBM>2.0.ZU;2-L
Abstract
Antisymmetric fusions of the Z(n) Belavin model with integrable open b oundary conditions are studied. The centre of the corresponding operat or algebra, the Sklyanin determinant, is constructed. We prove that th e transfer matrices of the fusion hierarchies mutually commute. Utiliz ing the factorized L operators, this commuting family is expressed as mutually commuting difference operators acting on a function space. Th is gives Ruijsenaars-Macdonald-type commuting difference operators, wh ich describe the conservation laws of an integrable system.