Logarithmic Operators in Conformal Field Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 pages, plain TEX, PUPT-1391 (minor changes and the appendix with additional calculations is added)

Scientific paper

10.1016/0550-3213(93)90528-W

Conformal field theories with correlation functions which have logarithmic
singularities are considered. It is shown that those singularities imply the
existence of additional operators in the theory which together with ordinary
primary operators form the basis of the Jordan cell for the operator $L_{0}$.
An example of the field theory possessing such correlation functions is given.

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