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)