2018/08/13 by Dong, Jingcheng, Sun, Hua
#18D10 #FOS: Mathematics #Quantum Algebra (math.QA)
paper · doi:10.48550/arxiv.1808.04100
We classify braided extensions C of a rank 2 fusion category. The result shows that C is tensor equivalent to a Deligne's tensor product of some known categories, except C is slightly degenerate and generated by a √(2)-dimensional simple object. To start with, we describe the fusion rules, universal grading group, and the Frobenius-Perron dimensions of simple objects of C without the restriction that C is braided.