Gradient Flow in Logarithmic Conformal Field Theory
High Energy Physics - Theory
2009-10-31 v2 Condensed Matter
Abstract
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.
Cite
@article{arxiv.hep-th/9803092,
title = {Gradient Flow in Logarithmic Conformal Field Theory},
author = {Nick E. Mavromatos and Richard J. Szabo},
journal= {arXiv preprint arXiv:hep-th/9803092},
year = {2009}
}
Comments
12 pages LaTeX; references updated, one added; to be published in Physics Letters B