تقرير
Classification of super-modular categories by rank
العنوان: | Classification of super-modular categories by rank |
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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. |