supported by the Simons Foundation(Grant No.634104);Ching Hung Lam was supported by Ministry of Science and Technology(Grant No.104-2115-M-001-004-MY3);supported by National Natural Science Foundation of China(Grant No.12071314)。
We investigate modular framed vertex operator algebras over an algebraically closed field F whose characteristic is different from 2 and 7.In particular,the rationality of modular framed vertex operator algebras is es...