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Paper IPM / P / 6543  


Abstract:  
It is shown explicitly that the correlation functions of conformal field
theories (CFT) with the logarithmic operators are invariant under the
differential realization of Borel subalgebra of W_{∞}algebra.
This algebra is constructed by tensoroperator algebra of differential
representation of ordinary sl(2,\BbbC). This method allows us to
write
differential equations which can be used to find general expression for three
and fourpoint correlation functions possessing logarithmic operators. The
operator product expansion (OPE) coefficients of general logarithmic CFT are
given up to third level.
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