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

authored by
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.

External Organisation(s)
Institute for Advanced Study (IAS)
Type
Article
Journal
International Journal of Modern Physics A
Volume
11
Pages
4147-4172
No. of pages
26
ISSN
0217-751X
Publication date
1996
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Astronomy and Astrophysics
Electronic version(s)
https://doi.org/10.48550/arXiv.hep-th/9509166 (Access: Open)
https://doi.org/10.1142/S0217751X96001954 (Access: Closed)