Lifshitz black holes in IIA supergravity

TL;DR

The paper addresses constructing Lifshitz black holes with general dynamical exponent $z>1$ in a top-down string-theoretic framework. It develops Lifshitz and AdS backgrounds by a flux compactification of six-dimensional $\mathcal{N}=4$ Romans' gauged supergravity and an uplift to massive Type IIA, enabling planar black holes whose asymptotics approach either Lifshitz or AdS geometries. The resulting black holes possess a nontrivial scalar profile and are characterized by a two-form charge and a scalar charge, with their configuration space and thermodynamics explored numerically and via a dynamical-systems analysis. This work provides a concrete embedding of Lifshitz black holes in string theory and maps the parameter space for the $z>1$ regime, advancing holographic modeling of non-relativistic finite-temperature phases.

Abstract

We compute string theoretic black hole solutions having Lifshitz asymptotics with a general dynamical exponent z>1. We start by constructing solutions in a flux compactification of six dimensional supergravity, then uplift them to massive type IIA supergravity. Alongside the Lifshitz black holes we study the simpler anti-de Sitter solutions, of which there are a 1-parameter family in this supergravity, and compare and contrast their properties. The black holes are characterized by a two-form and scalar charge, and we numerically explore their configuration space and thermodynamical aspects.