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| Paper IPM / Physic / 6543 |
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| Abstract: | |||||
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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 tensor-operator 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 four-point 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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