RECTANGULAR YANG–BAXTER ALGEBRAS AND ALTERNATING A-TYPE INTEGRABLE VERTEX MODELS
2005 ◽
Vol 02
(06)
◽
pp. 1063-1080
Keyword(s):
Given a couple of Yang–Baxter operators 𝖱[k] and 𝖱[l] corresponding to integrable anisotropic vertex models of Ak-1 and Al-1 type, respectively, we construct and study a class of related lattice models whose monodromy matrices alternate between the mentioned operators. In order to do that, we use a natural generalization of the idea of coproduct in a bialgebra, that appears in the scenario of non-commutative algebraic geometry, related to the notion of internal homomorphisms of quantum spaces. We build up all eigenstates and eigenvalues of the transfer matrix by means of algebraic Bethe ansatz technics, where not only one vector, but a pseudovacuum subspace is needed for the process of diagonalization.
Keyword(s):
2003 ◽
Vol 36
(36)
◽
pp. 9425-9447
1992 ◽
Vol 07
(supp01a)
◽
pp. 165-196
◽
Keyword(s):
2014 ◽
Vol 2014
(11)
◽
pp. P11007
◽
1997 ◽
Vol 30
(15)
◽
pp. L543-L548
◽
2007 ◽
Vol 2007
(01)
◽
pp. P01018-P01018
◽
1997 ◽
Vol 500
(1-3)
◽
pp. 579-620
◽
Keyword(s):