LOGARITHMIC OPERATORS IN CONFORMAL FIELD-THEORY AND THE W-INFINITY-ALGEBRA

It is shown explicitly that the correlation functions of conformal fie ld theories (CFT) with the logarithmic operators are invariant under t he differential realization of Borel subalgebra of W-infinity-algebra. This algebra is constructed by tenser-operator algebra of differentia l representation of ordinary sl(2,C). This method allows us to write d ifferential equations which can be used to find general expression for three- and four-point correlation functions possessing logarithmic op erators. The operator product expansion (OPE) coefficients of general logarithmic CFT are given up to third level.