English

AdS/CFT boundary conditions, multi-trace perturbations, and the c-theorem

High Energy Physics - Theory 2016-09-06 v5

Abstract

We discuss possible choices for boundary conditions in the AdS/CFT correspondence, and calculate the renormalisation group flow induced by a double-trace perturbation. In running from the UV to the IR there is a unit shift in the central charge. The discrepancy between our result and results obtained by other authors is accounted for by the discovery that there is a non-trivial flow for perturbations induced by bulk fields with masses saturating the Breitenlohner-Freedman bound.

Keywords

Cite

@article{arxiv.hep-th/0310169,
  title  = {AdS/CFT boundary conditions, multi-trace perturbations, and the c-theorem},
  author = {David Nolland},
  journal= {arXiv preprint arXiv:hep-th/0310169},
  year   = {2016}
}

Comments

LaTeX, 10 pages, refs added, original (correct!) result restored