On Modular Invariant Partition Functions of Conformal Field Theories with Logarithmic Operators

Details On Modular Invariant Partition Functions of Conformal Field Theories with Logarithmic Operators On Modular Invariant Partition Functions of Conformal Field Theories with Logarithmic Operators

1995-09-28

arxiv.org/abs/hep-th/9509166v2

Int.J.Mod.Phys. A11 (1996) 4147-4172

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LaTeX, no figures

Scientific paper

10.1142/S0217751X96001954

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.

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