Zhu's algebra, C_2-algebra and C_2-cofiniteness of parafermion vertex operator algebras

Tomoyuki Arakawa, Ching Hung Lam, Hiromichi Yamada

We determine Zhu's algebra and C_2-algebra of parafermion vertex operator algebras for sl_2. Moreover, we prove the C_2-cofiniteness of parafermion vertex operator algebras for any…