$B_k$ Spin Vertex Models and Quantum Algebras
High Energy Physics - Theory
2020-08-26 v2 Mathematical Physics
math.MP
Abstract
We construct new solvable vertex models based on the spin representation of the Lie algebra . We use these models to study the algebraic structure underlying such vertex theories. We show that all the spin vertex models obey a version of the BMW algebra along with extra relations that are called --CB (conformal braiding) algebras. These algebras were discussed before for various IRF (interaction round the face) models. Here we establish that the same algebras hold for vertex models.
Cite
@article{arxiv.2005.02708,
title = {$B_k$ Spin Vertex Models and Quantum Algebras},
author = {Doron Gepner},
journal= {arXiv preprint arXiv:2005.02708},
year = {2020}
}
Comments
19 pages. This is the version accepted for publication in Nuclear Physics B