On Fermionic Rational Conformal Field Theories (Online)

Date: 2022-07-28

Time: 17:00 - 18:00


Kimyeong Lee


We study the various properties of fermion rational conformal field theories (fRCFTs). For example the chiral characters of the NS-NS sector of a given fRCFT form a vector valued modular form under the congruence subgroup  Γθ, and satisfy a modular linear differential equation (MLDE).   For the classification, we use the MLDE and the integrality condition, or the characters being the modular functions of the  congruence subgroup Γ(N) of SL(2,Z), to classify the fRCFTs. We also explore fRCFT in relation to the moonshine of sporadic groups, including the monster group.