Conformal perturbation theory beyond the leading order

2008/11/19 by Matthias R. Gaberdiel, Anatoly Konechny, Cornelius Schmidt-Colinet · 1 voice
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1088/1751-8113/42/10/105402

published as J.Phys.A42:105402,2009 · 27 pages, 1 figure; v2: references added

arxiv published 2008/11/19 · arxiv created 2008/11/27 · arxiv updated 2008/11/27

Abstract

Higher order conformal perturbation theory is studied for theories with and without boundaries. We identify systematically the universal quantities in the beta function equations, and we give explicit formulae for the universal coefficients at next-to-leading order in terms of integrated correlation functions. As an example, we analyse the radius-dependence of the conformal dimension of some boundary operators for the case of a single Neumann brane on a circle, and for an intersecting brane configuration on a torus, reproducing in both cases the expected geometrical answer.

Discussions

• Perturbation theory is not always done around a trivial RG fixed point. The more general framework of conformal perturbation theory is not discussed much on this site but it should be. The idea is tha [stackexchange, 2 points]