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

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

2003-10-17

arxiv.org/abs/hep-th/0310169v5

Phys.Lett. B584 (2004) 192-199

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/j.physletb.2004.01.037

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.

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