Galilean anti-de-Sitter spacetime in Romans theory

TL;DR

This paper presents a non-relativistic anti-de Sitter background solution in Romans type IIA supergravity, linking it to potential dual descriptions of cold atom systems and unitary fermions.

Contribution

It provides the first explicit example of a non-relativistic AdS solution in massive type IIA supergravity with potential holographic duals.

Findings

Constructed a non-relativistic AdS4 x S^6 background in Romans theory

Demonstrated the compactification to a 4D NRadS background

Suggested duality with cold atom and unitary fermion systems

Abstract

The Romans type IIA theory is the only known example of 10-dimensional maximal supergravity where (tensor) fields are explicitly massive. We provide an example of a non-relativistic anti-de Sitter $NRadS_4\times S^6$ background as a solution in massive type IIA. A compactification of which on $S^6$ gives immediately the prototype NRadS background in D=4 which is proposed to be dual to `cold atoms' or unitary fermions on a wire.