On SO(N) spin vertex models

On SO(N) spin vertex models

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 th...

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Main Authors: Vladimir Belavin, Doron Gepner, Hans Wenzl
Format: Article
Language:English
Published: Elsevier 2020-10-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321320302467
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spelling doaj-4879d94c9fcd43dc9363b17ad9329c262020-11-25T03:32:23ZengElsevierNuclear Physics B0550-32132020-10-01959115160On SO(N) spin vertex modelsVladimir Belavin0Doron Gepner1Hans Wenzl2Physics Department, Ariel University, Ariel 40700, IsraelDepartment of Particle Physics and Astrophysics, Weizmann Institute, Rehovot 76100, Israel; Corresponding author.Department of Mathematics, University of California, San Diego, California, United States of AmericaWe 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.http://www.sciencedirect.com/science/article/pii/S0550321320302467
collection DOAJ
language English
format Article
sources DOAJ
author Vladimir Belavin
Doron Gepner
Hans Wenzl
spellingShingle Vladimir Belavin
Doron Gepner
Hans Wenzl
On SO(N) spin vertex models
Nuclear Physics B
author_facet Vladimir Belavin
Doron Gepner
Hans Wenzl
author_sort Vladimir Belavin
title On SO(N) spin vertex models
title_short On SO(N) spin vertex models
title_full On SO(N) spin vertex models
title_fullStr On SO(N) spin vertex models
title_full_unstemmed On SO(N) spin vertex models
title_sort on so(n) spin vertex models
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
publishDate 2020-10-01
description 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.
url http://www.sciencedirect.com/science/article/pii/S0550321320302467
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AT dorongepner onsonspinvertexmodels
AT hanswenzl onsonspinvertexmodels
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