Attractive holographic $c$-functions

Abstract

Using the attractor mechanism for extremal solutions in $\mathcal{N}=2$ gauged supergravity, we construct a $c$-function that interpolates between the central charges of theories at ultraviolet and infrared conformal fixed points corresponding to anti-de Sitter geometries. The $c$-function we obtain is couched purely in terms of bulk quantities and connects two different dimensional CFTs at the stable conformal fixed points under the RG flow.

13 pages, revised references and typographic modifications

References in corpus (8)

• Holographic c-theorems in arbitrary dimensions
• Lifshitz Solutions of D=10 and D=11 supergravity
• Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity
• Black Hole Microstates and Attractor Without Supersymmetry
• A C-Function For Non-Supersymmetric Attractors
• The chiral ring of AdS3/CFT2 and the attractor mechanism
• The Attractor Mechanism in Gauss-Bonnet Gravity
• C-Functions in Lovelock Gravity

Cited by in corpus (2)

• Compactifications of the Klebanov-Witten CFT and new $Ad{S}_3$ backgrounds
• Renormalized Entanglement Entropy for BPS Black Branes