The factorized F-matrices for arbitrary U(1)^(N-1) integrable vertex models

Details The factorized F-matrices for arbitrary U(1)^(N-1) integrable vertex models The factorized F-matrices for arbitrary U(1)^(N-1) integrable vertex models

2011-11-20

arxiv.org/abs/1111.4675v1

Physics

Mathematical Physics

plain latex, 3 figures, 61 pages

Scientific paper

We discuss the $F$-matrices associated to the $R$-matrix of a general $N$-state vertex model whose statistical configurations encode $N-1$ U(1) symmetries. The factorization condition is shown for arbitrary weights being based only on the unitarity property and the Yang-Baxter relation satisfied by the $R$-matrix. Focusing on the N=3 case we are able to conjecture the structure of some relevant twisted monodromy matrix elements for general weights. We apply this result providing the algebraic expressions of the domain wall partition functions built up in terms of the creation and annihilation monodromy fields. For N=3 we also exhibit a $R$-matrix whose weights lie on a del Pezzo surface and have a rather general structure.

Affiliated with

Also associated with

No associations

Rating

The factorized F-matrices for arbitrary U(1)^(N-1) integrable 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 The factorized F-matrices for arbitrary U(1)^(N-1) integrable vertex models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The factorized F-matrices for arbitrary U(1)^(N-1) integrable vertex models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-375420