q-Virasoro/W algebra at root of unity and parafermions

We demonstrate that the parafermions appear in the r-th root of unity limit of q-Virasoro/Wn algebra. The proper value of the central charge of the coset model slˆ(n)r⊕slˆ(n)m−nslˆ(n)m−n+r is given from the parafermion construction of the block in the limit.

Bibliographic Details
Main Authors: H. Itoyama, T. Oota, R. Yoshioka
Format: Article
Language:English
Published: Elsevier 2014-12-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321314003046
Description
Summary:We demonstrate that the parafermions appear in the r-th root of unity limit of q-Virasoro/Wn algebra. The proper value of the central charge of the coset model slˆ(n)r⊕slˆ(n)m−nslˆ(n)m−n+r is given from the parafermion construction of the block in the limit.
ISSN:0550-3213
1873-1562