On fusion rules in logarithmic conformal field theories

verfasst von
Michael A.I. Flohr
Abstract

We find the fusion rules for the cp,i series of logarithmic conformal field theories. This completes our attempts to generalize the concept of rationality for conformal field theories to the logarithmic case. A novelty is the appearance of negative fusion coefficients which can be understood in terms of exceptional quantum group representations. The effective fusion rules (i.e. without signs and multiplicities) resemble the BPZ fusion rules for the virtual minimal models with conformal grid given via c = c3p,3. This leads to the conjecture that (almost) all minimal models with c = cp,q, gcd(p,q) > 1, belong to the class of rational logarithmic conformal field theories.

Externe Organisation(en)
Institute for Advanced Study (IAS)
Typ
Artikel
Journal
International Journal of Modern Physics A
Band
12
Seiten
1943-1958
Anzahl der Seiten
16
ISSN
0217-751X
Publikationsdatum
20.04.1997
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Atom- und Molekularphysik sowie Optik, Kern- und Hochenergiephysik, Astronomie und Astrophysik
Elektronische Version(en)
https://doi.org/10.48550/arXiv.hep-th/9605151 (Zugang: Offen)
https://doi.org/10.1142/S0217751X97001225 (Zugang: Geschlossen)