Academics

Towards a classification of fermionic rational conformal field theories

Time:2023-03-21 Tue 09:00-11:00

Venue:Venue: 1129B ZOOM: 954 2993 2868(PW: 588289)

Organizer:Hao Zheng

Speaker: Zhihao Duan Korea Institute for Advanced Study

Abstract

Two-dimensional conformal field theoriesplay an important role in modern theoretical physics. Among them, rational CFTs enjoy particularly nice properties and hence are amenable to a possible classification. In this talk, I will review some recent progress towards classifying Rational CFTs with fermions using the holomorphic modular bootstrap method, which is related to but different from the classification of super modular tensor categories. As one of the main results, we successfully bootstrap theories with small number of characters, which already reveal interesting phenomena such as fermionization, SUSY enhancement and the moonshine of sporadic groups. Finally, partly inspired by the congruence property of MTC, we make use of the integrality of characters to improve our classification.

DATEMarch 21, 2023
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