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

A. Shafiekhani·M. R. Rahimi Tabar
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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 $\W_\infty$-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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A. Shafiekhani, M. R. Rahimi Tabar. 1997-05-01. Logarithmic Operators in Conformal Field Theory and The $\W_\infty$-algebra. https://doi.org/10.1142/s0217751x97001912

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