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Paper   IPM / P / 6543
School of Physics
  Title:   Logarithmic Operators in Conformal Field Theory and the W Algebra
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
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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