On SO(N) spin vertex models

被引：3

作者：

Belavin, Vladimir ^{[1
]}

Gepner, Doron ^{[2
]}

Wenzl, Hans ^{[3
]}

机构：

[1] Ariel Univ, Phys Dept, IL-40700 Ariel, Israel

[2] Weizmann Inst Sci, Dept Particle Phys & Astrophys, IL-76100 Rehovot, Israel

[3] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA

来源：

NUCLEAR PHYSICS B | 2020年 / 959卷

关键词：

D O I：

10.1016/j.nuclphysb.2020.115160

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We describe the Boltzmann weights of the D-k algebra spin vertex models. Thus, we find the SO (N) spin vertex models, for any N, completing the B-k case found earlier. We further check that the real (self-dual) SO(N) models obey quantum algebras, which are the Birman-Murakami-Wenzl (BMW) algebra for three blocks, and certain generalizations, which include the BMW algebra as a sub-algebra, for four and five blocks. In the case of five blocks, the B-4 model is shown to satisfy additional twenty new relations, which are given. The D-6 model is shown to obey two additional relations. (C) 2020 The Author(s). Published by Elsevier B.V.

引用

页数：10

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