Holographic flows to IR Lifshitz spacetimes

TL;DR

This paper explores holographic RG flows from Schr"odinger to Lifshitz spacetimes by analyzing special limits of TsT black-hole solutions with B-fields, revealing new nonrelativistic geometries in string theory.

Contribution

It extends previous studies by applying vanishing horizon limits to TsT black-hole solutions, uncovering new holographic flows to IR Lifshitz spacetimes with B-fields.

Findings

Identified holographic RG flow from Schr"odinger to Lifshitz geometries.

Discovered new Galilean solutions describing nonrelativistic spacetimes.

Demonstrated the role of special double limits in generating IR Lifshitz geometries.

Abstract

Recently we studied `vanishing' horizon limits of `boosted' black D3-brane geometry \cite{hsnr}. The type IIB solutions obtained by taking these special double limits were found to describe nonrelativistic Lifshitz spacetimes at zero temperature. In the present work we study these limits for TsT black-hole solutions which include $B$-field. The new Galilean solutions describe a holographic RG flow from Schr\"odinger ($a=2$) spacetime in UV to a Lifshitz universe ($a=3$) in the IR.