Exact hairy black brane solutions in $AdS_{5}$ and holographic RG flows

TL;DR

This paper presents exact, regular black hole solutions in 5D AdS gravity with scalar fields, evading no-hair theorems, and explores their implications for holographic RG flows and dual field theories.

Contribution

It provides a new class of exact hairy black brane solutions in AdS5 with detailed analysis of their holographic RG flow properties.

Findings

Exact black hole solutions with scalar hair in AdS5

Evading no-hair theorems via scalar backreaction

Explicit beta-function and c-function for RG flow

Abstract

We construct a general class of exact, regular black hole solutions with toroidal horizon topology in 5-dimensional AdS gravity with a self-interacting scalar field. Due to the non-trivial backreaction of the scalar field, the no-hair theorems can be evaded so that an event horizon can be formed. The scalar field is regular everywhere outside the curvature singularity and it vanishes at the boundary where the potential is finite. We study the properties of these black holes in the context of AdS/CFT duality and comment on the dual operators, which saturate the unitarity bound. We present exact expressions for the beta-function and construct a c-function that characterizes the RG flow.