A mathematical theory of gapless boundaries of 2+1D topological orders
Liang Kong, Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology
Date & time: Friday, 29 October 2021 at 11:00AM - 12:00PM
Abstract It was well-known that the low energy effective field theory of a 2+1D topological order is a 2+1D topological field theory, which can be mathematically described by a modular tensor category C. It was also known as a forklore that a chiral gapless boundary of C is a "chiral conformal field theory" (CFT). In this talk, I will show that this boundary chiral CFT can be mathematically described by a pair (V,X), where V is a rational VOA and X is a fusion category enriched in the category Mod_V of V-modules. Moreover, the monoidal center of X is precisely C. If time permits, I will also discuss some applications of this result. This is a joint work with Hao Zheng.
Meeting ID: 939 2146 5287
Passcode: 196884, the dimension of the weight 2 homogeneous
subspace of the moonshine module