Brane solutions sourced by a scalar with vanishing potential and classification of scalar branes

TL;DR

This paper derives and classifies exact scalar brane solutions in Einstein-Maxwell-scalar gravity with zero potential, highlighting their conformal relation to Lifshitz spacetime and relevance for holography.

Contribution

It provides a complete classification of scalar branes with simple scaling symmetries, including solutions with hyperscaling violation, expanding the understanding of holographic models.

Findings

Derived exact conformal Lifshitz brane solutions

Classified all scalar branes with simple scaling symmetries

Included solutions with hyperscaling violation

Abstract

We derive exact brane solutions of minimally coupled Einstein-Maxwell-scalar gravity in d+2 dimensions with a vanishing scalar potential. The solutions are conformal to the Lifshitz spacetime and have several properties, which make them interesting for holographic applications. In particular, the dual QFT is characterized by hyperscaling violation. We show that our solutions, together with the AdS brane and the domain wall sourced by an exponential potential, give the complete list of scalar branes sourced by a generic potential having simple (scale-covariant) scaling symmetries. This allows us to give a complete classification of both simple and interpolating brane solution of minimally coupled Einstein-Maxwell-scalar gravity, which may be very useful for holographic applications.