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

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.

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

References in corpus (3)

• A universal result on central charges in the presence of double-trace deformations
• Double-trace operators and one-loop vacuum energy in AdS/CFT
• Order $1/N^2$ test of the Maldacena conjecture II: the full bulk one-loop contribution to the boundary Weyl anomaly

Cited by in corpus (9)

• 1/N^2 corrections to the holographic Weyl anomaly
• The Boundary Weyl Anomaly in the $\mathcal{N}=4$ SYM/Type IIB Supergravity Correspondence
• Intertwining Operator Realization of anti de Sitter Holography
• Bound States in the AdS/CFT Correspondence
• Variational Methods in AdS/CFT
• The shortened KK spectrum of IIB supergravity on Y^{p,q}
• On the Role of Boundary Terms in the AdS/CFT Correspondence
• A Note on Scalar Field Theory in AdS_3/CFT_2
• AdS/CFT boundary conditions and multi-trace perturbations for fermions