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## “School of Physic”

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Paper   IPM / Physic / 6543
School of Physics
Title:   Logarithmic Operators in Conformal Field Theory and the W Algebra
Author(s):
 1 A. Shafiekhani 2 M.R. Rahimi Tabar
Status:   Published
Journal: Int. J. Mod. Phys. A
No.:  18
Vol.:  12
Year:  1997
Pages:   3723-3738
Supported by:  IPM
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 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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