Braided Zestings of Verlinde Modular Categories and Their Modular Data

التفاصيل البيبلوغرافية
العنوان: Braided Zestings of Verlinde Modular Categories and Their Modular Data
المؤلفون: Galindo, César, Mora, Giovanny, Rowell, Eric C.
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Quantum Algebra
الوصف: Zesting of braided fusion categories is a procedure that can be used to obtain new modular categories from a modular category with non-trivial invertible objects. In this paper, we classify and construct all possible braided zesting data for modular categories associated with quantum groups at roots of unity. We produce closed formulas, based on the root system of the associated Lie algebra, for the modular data of these new modular categories.
Comment: 37 pages, 22 tables. Several typos corrected and minor changes made
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2311.17255
رقم الأكسشن: edsarx.2311.17255
قاعدة البيانات: arXiv