#  Seminar, Liang Kong (Southern University of Science and Technology), A unified mathematical theory of gapped and gapless boundaries of 2d topological orders 

 



####  calendar\_today Date and Time 

 **February 12, 2019** 

 03:00PM - 03:00PM EST 

####  pin\_drop Location 

 **Jefferson 356**  



 

 



 

   ![Liang Kong](/sites/g/files/omnuum6611/files/styles/hwp_1_1__360x360_scale/public/mathpicture/files/2cun_.jpg?itok=MjhN_rzR) 

 

 **Title.**  A unified mathematical theory of gapped and gapless boundaries of 2d topological orders

 **Abstract.** A 2d topological order can be described by a unitary modular tensor category (UMTC) of anyons and a chiral central charge. The mathematical theory for gapped boundaries of 2d topological orders has been established a few years ago. A gapped boundary is described by a unitary fusion category whose Drinfeld center gives precisely the UMTC associated to the bulk. The mathematical theory for gapless boundaries is not known, but it was long believed that a chiral gapless boundary should be described by a ``chiral conformal field theory'', the precise meaning of which was not known. In this talk, I will establish this missing theory and show that observables on the 1+1D world sheet of such a boundary form an enriched monoidal category, whose Drinfeld center is again precisely the UMTC associated to the bulk. This is joint work with Hao Zheng.



 

 



 

 

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