تقرير
On near-group centers and super-modular categories
| العنوان: | On near-group centers and super-modular categories |
|---|---|
| المؤلفون: | Rowell, Eric C., Solomon, Hannah, Zhang, Qing |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Quantum Algebra |
| الوصف: | The construction and classification of super-modular categories is an ongoing project, of interest in algebra, topology and physics. In a recent paper, Cho, Kim, Seo and You produced two mysterious families of super-modular data, with no known realization. We show that these data are realized by modifying the Drinfeld centers of near-group fusion categories associated with the groups $\mathbb Z/6$ and $\mathbb Z/2\times \mathbb Z/4$. The methods we develop have wider applications and we describe some of these, with a view towards understanding when near-group centers provide super-modular categories. Comment: 17 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2305.09108 |
| رقم الأكسشن: | edsarx.2305.09108 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |