تقرير
On SO$(N)$ spin vertex models
| العنوان: | On SO$(N)$ spin vertex models |
|---|---|
| المؤلفون: | Belavin, Vladimir, Gepner, Doron, Wenzl, Hans |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics High Energy Physics - Theory Mathematical Physics |
| مصطلحات موضوعية: | High Energy Physics - Theory, Mathematical Physics |
| الوصف: | 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. Comment: 15 pages, no figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2007.15939 |
| رقم الأكسشن: | edsarx.2007.15939 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |