تقرير
Classification of super-modular categories by rank
| العنوان: | Classification of super-modular categories by rank |
|---|---|
| المؤلفون: | Bruillard, Paul, Galindo, César, Ng, Siu-Hung, Plavnik, Julia Yael, Rowell, Eric C., Wang, Zhenghan |
| سنة النشر: | 2017 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Quantum Algebra |
| الوصف: | We pursue a classification of low-rank super-modular categories parallel to that of modular categories. We classify all super-modular categories up to rank=$6$, and spin modular categories up to rank=$11$. In particular, we show that, up to fusion rules, there is exactly one non-split super-modular category of rank $2,4$ and $6$, namely $PSU(2)_{4k+2}$ for $k=0,1$ and $2$. This classification is facilitated by adapting and extending well-known constraints from modular categories to super-modular categories, such as Verlinde and Frobenius-Schur indicator formulae. Comment: 18 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1705.05293 |
| رقم الأكسشن: | edsarx.1705.05293 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |