# Online: Seminar, Zhenghan Wang (Microsoft Station Q and UCSB), Reconstructing CFTs from MTCs #### calendar\_today Date and Time **October 6, 2020** 10:00AM - 10:00AM EDT #### pin\_drop Location **Zoom** ![Zhenghan Wang](/sites/g/files/omnuum6611/files/styles/hwp_1_1__720x720_scale/public/mathpicture/files/zwfp.jpg?itok=OhsVBHON) **Location:** Zoom **Time:** Tuesday, October 6, 2020, 10:00 AM (Eastern US), 15:00 (UK/Eire), 16:00 (Central Europe), 22:00 (China) **Title:** Reconstructing CFTs from MTCs **Abstract:** Inspired by fractional quantum Hall physics and Tannaka-Krein duality, it is conjectured that every modular tensor category (MTC) or (2+1)-topological quantum field theory (TQFT) can be realized as the representation category of a vertex operator algebra (VOA) or chiral conformal field theory (CFT). It is obviously true for quantum group/WZW MTCs, but it is not known for MTCs appeared in subfactors such as the famous double Haagerup. After some general discussion, I will focus on pointed MTCs or so-called abelian anyon models. While all abelian anyon models can be realized by lattice VOAs, it is not clear whether or not they can be realized by non-lattice VOAs. The trivial MTC is realized by the Monster moonshine module, which is a non-lattice realization. I will provide evidence that this might be true for all abelian anyon models. The talk is partially based on a joint work with Liang Wang: **Additional Ways to Join** Join by telephone (use any number to dial in) +1 929 436 2866 +1 312 626 6799 +1 669 900 6833 400 669 9381 China Toll-free International numbers available: [https://harvar](https://harvard.zoom.us/u/aclg6kOggb)[d.zoom.us/u/aclg6kOggb](https://harvard.zoom.us/u/aclg6kOggb) One tap mobile: +19294362866,,779283357# US (New York) Join by SIP conference room system Meeting ID: 779 283 357 <779283357@zoomcrc.com> Share on:- [ Facebook ](#) - [ Twitter ](#) - [ Linkedin ](#) Save: [ Add to calendar calendar\_today ](https://mathpicture.fas.harvard.edu/node/1490750/event-feed.ics) Copy link link