On SO(N) spin vertex models

Vladimir Belavin; Doron Gepner; Hans Wenzl

doi:10.1016/j.nuclphysb.2020.115160

On SO(N) spin vertex models

Vladimir Belavin, Doron Gepner, Hans Wenzl

Ariel University, Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

Abstract

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 B₄ model is shown to satisfy additional twenty new relations, which are given. The D₆ model is shown to obey two additional relations.

Original language	English
Article number	115160
Number of pages	10
Journal	Nuclear Physics B
Volume	959
Early online date	2 Sep 2020
DOIs	https://doi.org/10.1016/j.nuclphysb.2020.115160
State	Published - Oct 2020

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/j.nuclphysb.2020.115160

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title = "On SO(N) spin vertex models",

abstract = "We describe the Boltzmann weights of the Dk algebra spin vertex models. Thus, we find the SO(N) spin vertex models, for any N, completing the Bk 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 B4 model is shown to satisfy additional twenty new relations, which are given. The D6 model is shown to obey two additional relations.",

author = "Vladimir Belavin and Doron Gepner and Hans Wenzl",

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year = "2020",

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AU - Belavin, Vladimir

AU - Gepner, Doron

AU - Wenzl, Hans

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AB - We describe the Boltzmann weights of the Dk algebra spin vertex models. Thus, we find the SO(N) spin vertex models, for any N, completing the Bk 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 B4 model is shown to satisfy additional twenty new relations, which are given. The D6 model is shown to obey two additional relations.

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U2 - 10.1016/j.nuclphysb.2020.115160

DO - 10.1016/j.nuclphysb.2020.115160

M3 - مقالة

SN - 0550-3213

VL - 959

JO - Nuclear Physics B

JF - Nuclear Physics B

M1 - 115160

ER -

On SO(N) spin vertex models

Abstract

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