Integrable mixing of A_{n-1} type vertex models

Details Integrable mixing of A_{n-1} type vertex models Integrable mixing of A_{n-1} type vertex models

2002-06-13

arxiv.org/abs/hep-ph/0206120v3

J.Math.Phys. 45 (2004) 2073-2089

Physics

High Energy Physics

High Energy Physics - Phenomenology

REVTeX 28 pages. Here we complete the proof of integrability for mixed vertex models as defined in the first version

Scientific paper

10.1063/1.1704846

Given a family of monodromy matrices {T_u; u=0,1,...,K-1} corresponding to integrable anisotropic vertex models of A_{(n_u)-1}-type, we build up a related mixed vertex model by means of glueing the lattices on which they are defined, in such a way that integrability property is preserved. Algebraically, the glueing process is implemented through one dimensional representations of rectangular matrix algebras A(R_p,R_q), namely, the `glueing matrices' zeta_u. Here R_n indicates the Yang-Baxter operator associated to the standard Hopf algebra deformation of the simple Lie algebra A_{n-1}. We show there exists a pseudovacuum subspace with respect to which algebraic Bethe ansatz can be applied. For each pseudovacuum vector we have a set of nested Bethe ansatz equations identical to the ones corresponding to an A_{m-1} quasi-periodic model, with m equal to the minimal range of involved glueing matrices.

Affiliated with

Also associated with

No associations

Rating

Integrable mixing of A_{n-1} type vertex models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Integrable mixing of A_{n-1} type vertex models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integrable mixing of A_{n-1} type vertex models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-690167