On modular invariant partition functions of conformal field theories with logarithmic operators

verfasst von
Michael A.I. Flohr
Abstract

We extend the definitions of characters and partition functions to the case of conformal field theories which contain operators with logarithmic correlation functions. As an example we consider the theories with central charge c = cP,1 = 13 -6(p + p-1), the "border" of the discrete minimal series. We show that there is a slightly generalized form of the property of rationality for such logarithmic theories. In particular, we obtain a classification of theories with c = cp,1 which is similar to the A-D-E classification of c = 1 models.

Externe Organisation(en)
Institute for Advanced Study (IAS)
Typ
Artikel
Journal
International Journal of Modern Physics A
Band
11
Seiten
4147-4172
Anzahl der Seiten
26
ISSN
0217-751X
Publikationsdatum
1996
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/9509166 (Zugang: Offen)
https://doi.org/10.1142/S0217751X96001954 (Zugang: Geschlossen)