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arXiv · hep-th/9610168

The Logarithmic Conformal Field Theories

M. R. Rahimi Tabar·A. Aghamohammadi·M. Khorrami
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Abstract

We study the correlation functions of logarithmic conformal field theories. First, assuming conformal invariance, we explicitly calculate two-- and three-- point functions. This calculation is done for the general case of more than one logarithmic field in a block, and more than one set of logarithmic fields. Then we show that one can regard the logarithmic field as a formal derivative of the ordinary field with respect to its conformal weight. This enables one to calculate any $n$-- point function containing the logarithmic field in terms of ordinary $n$--point functions. At last, we calculate the operator product expansion (OPE) coefficients of a logarithmic conformal field theory, and show that these can be obtained from the corresponding coefficients of ordinary conformal theory by a simple derivation.

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M. R. Rahimi Tabar, A. Aghamohammadi, M. Khorrami. 1997-05-03. The Logarithmic Conformal Field Theories. https://doi.org/10.1016/s0550-3213(97)00230-7

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