Gravitational Stability and Renormalization-Group Flow

TL;DR

This paper derives first-order equations for dilaton domain walls in D-dimensional gravity with a stable AdS vacuum, exploring their implications for holographic renormalization group flows.

Contribution

It introduces new first-order Bogomol'nyi equations for dilaton domain walls in a general setting, linking gravitational solutions to RG flow in dual field theories.

Findings

Derived first-order Bogomol'nyi equations for dilaton domain walls.

Established conditions for stable AdS vacua in the model.

Discussed implications for holographic RG flow.

Abstract

First-order `Bogomol'nyi' equations are found for dilaton domain walls of D-dimensional gravity with the general dilaton potential admitting a stable anti-de Sitter vacuum. Implications for renormalization group flow in the holographically dual field theory are discussed.