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

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Cited by in corpus (5)

• Compactifications of the Klebanov-Witten CFT and new $Ad{S}_3$ backgrounds
• Probing the EVH limit of supersymmetric AdS black holes
• Renormalized Entanglement Entropy for BPS Black Branes
• RG Flow and Thermodynamics of Causal Horizons in Higher-Derivative AdS Gravity
• The generalized holographic $c$-function for regular AdS black holes