Exact holographic RG flows in extended SUGRA

Abstract

We present a family of exact planar hairy neutral black hole solutions in extended supergravity with Fayet-Iliopoulos (FI) terms. We consider a model where the magnetic part of FI sector vanishes and obtain the superpotential at finite temperature in analytic form. Then, we discuss the thermodynamics and some holographic properties of these solutions. We regularize the action by two different methods, one with gravitational and scalar counterterms and the other using the thermal superpotential as a counterterm, and compute the holographic stress tensor. We also construct the $c$-function of the corresponding RG flow and obtain an exact holographic $\beta$-function for this model.

arXiv comment28 pages, 4 figures

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• Supersymmetric smooth distributions of M2-branes as AdS solitons
• Holography of AdS Hairy Black Holes and Cardy-Verlinde Formula
• Instability of supersymmetric black holes via quantum phase transitions