Gravitationally Dressed Conformal Field Theory and Emergence of Logarithmic Operators

Details Gravitationally Dressed Conformal Field Theory and Emergence of Logarithmic Operators Gravitationally Dressed Conformal Field Theory and Emergence of Logarithmic Operators

1994-07-22

arxiv.org/abs/hep-th/9407151v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, Princeton University preprint PUPT-1482

Scientific paper

We study correlation functions in two-dimensional conformal field theory coupled to induced gravity in the light-cone gauge. Focussing on the fermion four-point function, we display an unexpected non-perturbative singularity structure: coupling to gravity {\it qualitatively} changes the perturbative $(x_1-x_2)^{-1}(x_3-x_4)^{-1}$ singularity into a logarithmic one plus a non-singular piece. We argue that this is related to the appearence of new logarithmic operators in the gravitationally dressed operator product expansions. We also show some evidence that non-conformal but integrable models may remain integrable when coupled to gravity.

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