TY - JOUR

T1 - On SO(N) spin vertex models

AU - Belavin, Vladimir

AU - Gepner, Doron

AU - Wenzl, Hans

N1 - Publisher Copyright:
© 2020 The Author(s)

PY - 2020/10

Y1 - 2020/10

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=85090118396&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2020.115160

DO - 10.1016/j.nuclphysb.2020.115160

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AN - SCOPUS:85090118396

SN - 0550-3213

VL - 959

JO - Nuclear Physics B

JF - Nuclear Physics B

M1 - 115160

ER -