On Modular Invariant Partition Functions of Conformal Field Theories with Logarithmic Operators
High Energy Physics - Theory
2009-10-28 v2
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 = c(p,1) = 13-6(p+1/p), 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 = c(p,1) which is similar to the A-D-E classification of c = 1 models.
Keywords
Cite
@article{arxiv.hep-th/9509166,
title = {On Modular Invariant Partition Functions of Conformal Field Theories with Logarithmic Operators},
author = {Michael Flohr},
journal= {arXiv preprint arXiv:hep-th/9509166},
year = {2009}
}
Comments
21 pages, LaTeX, no figures