The Z_k^(su(2),3/2) Parafermions

Jacob, Patrick; Mathieu, Pierre

Abstract

We introduce a novel parafermionic theory for which the conformal dimension of the basic parafermion is 3(1-1/k)/2, with k even. The structure constants and the central charges are obtained from mode-type associativity calculations. The spectrum of the completely reducible representations is also determined. The primary fields turns out to be labeled by two positive integers instead of a single one for the usual parafermionic models. The simplest singular vectors are also displayed. It is argued that these models are equivalent to the non-unitary minimal W_k(k+1,k+3) models. More generally, we expect all W_k(k+1,k+2 beta) models to be identified with generalized parafermionic models whose lowest dimensional parafermion has dimension beta(1-1/k).

Citation

Jacob, P., & Mathieu, P. (2005). The Z_k^(su(2),3/2) Parafermions. Physics Letters B, 627(1-4), 224-232. https://doi.org/10.1016/j.physletb.2005.09.006

• Journal Article Type: Article
• Publication Date: 2005-10
• Deposit Date: Feb 29, 2008
• Journal: Physics Letters B
• Print ISSN: 0370-2693
• Electronic ISSN: 1873-2445
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 627
• Issue: 1-4
• Pages: 224-232
• DOI: https://doi.org/10.1016/j.physletb.2005.09.006
• Public URL: https://durham-repository.worktribe.com/output/1546673