Logarithmic Operators in Conformal Field Theory and The $\W_\infty$-algebra

Details Logarithmic Operators in Conformal Field Theory and The $\W_\infty$-algebra Logarithmic Operators in Conformal Field Theory and The $\W_\infty$-algebra

1996-04-02

arxiv.org/abs/hep-th/9604007v3

Int.J.Mod.Phys. A12 (1997) 3723-3738

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, LaTex, no figures, Version to appear in Int. J. Mod. Phys. A 12 (1997)

Scientific paper

10.1142/S0217751X97001912

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 $\W_\infty$-algebra. This algebra is constructed by tensor-operator algebra of differential representation of ordinary $sl(2,C)$. 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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