$q$-Virasoro/W Algebra at Root of Unity and Parafermions

Hiroshi Itoyama, Takeshi Oota, Reiji Yoshioka

We demonstrate that the parafermions appear in the $r$-th root of unity limit of $q$-Virasoro/$W_n$ algebra. The proper value of the central charge of the coset model $ \frac{\wide…