Exact holographic RG flows in extended SUGRA

TL;DR

This paper derives exact black hole solutions in extended supergravity, analyzes their thermodynamics and holographic properties, and constructs the RG flow and beta function in the holographic dual theory.

Contribution

It provides explicit analytic solutions for holographic RG flows in extended supergravity with detailed thermodynamic and holographic analyses.

Findings

Exact planar hairy black hole solutions in extended supergravity.

Analytic superpotential at finite temperature.

Explicit holographic c-function and beta function.

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.