Gradient Flow in Logarithmic Conformal Field Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages LaTeX; references updated, one added; to be published in Physics Letters B

Scientific paper

10.1016/S0370-2693(98)00500-0

We establish conditions under which the worldsheet beta-functions of logarithmic conformal field theories can be derived as the gradient of some scalar function on the moduli space of running coupling constants. We derive a renormalization group invariant version of this function and relate it to the usual Zamolodchikov C-function expressed in terms of correlation functions of the worldsheet energy-momentum tensor. The results are applied to the example of D-brane recoil in string theory.

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