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Paper IPM / Physic / 6557  


Abstract:  
We study the correlation functions of logarithmic conformal field theories.
First, assuming conformal invariance, we explicitly calculate two and
threepoint 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 npoint function containing the
logarithmic field in terms of ordinary npoint functions. Finally, 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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