تقرير
Classification of spin-chain braid representations
| العنوان: | Classification of spin-chain braid representations |
|---|---|
| المؤلفون: | Martin, Paul, Rowell, Eric C. |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Quantum Algebra, Mathematics - Representation Theory, 16T25, 20F36, 18M05 |
| الوصف: | A braid representation is a monoidal functor from the braid category $\mathsf{B}$, for example given by a solution to the constant Yang-Baxter equation. Given a monoidal category $\mathsf{C}$ with $ob(\mathsf{C})=\mathbb{N}$, a rank-$N$ charge-conserving representation (or spin-chain representation) is a strict monoidal functor $F$ from $\mathsf{C}$ to the category $\mathrm{Match}^N$ of rank-$N$ charge-conserving matrices that is natural in the sense that $F(1)=1$}. In this work we construct all spin-chain braid representations, and classify up to suitable notions of isomorphism. Comment: 34 pages (second version). Substantially revised. (version 3) minor changes, added reference to recent applications |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2112.04533 |
| رقم الأكسشن: | edsarx.2112.04533 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |