English

Conformal perturbation theory beyond the leading order

High Energy Physics - Theory 2009-02-27 v2

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.

Keywords

Cite

@article{arxiv.0811.3149,
  title  = {Conformal perturbation theory beyond the leading order},
  author = {Matthias R. Gaberdiel and Anatoly Konechny and Cornelius Schmidt-Colinet},
  journal= {arXiv preprint arXiv:0811.3149},
  year   = {2009}
}

Comments

27 pages, 1 figure; v2: references added

R2 v1 2026-06-21T11:43:20.670Z