Galilean type IIA backgrounds and a map

TL;DR

This paper constructs non-relativistic AdS4 solutions in type IIA string theory with dynamical exponent 3, revealing a connection between Romans mass and flux, and explores their M-theory origins.

Contribution

It introduces new non-relativistic AdS4 backgrounds in type IIA string theory, linking Romans mass to flux and proposing a four-dimensional symmetry relating them.

Findings

Non-relativistic AdS4 solutions with dynamical exponent 3 found in type IIA.

Romans mass identified with flux along CP3 in four-dimensional compactifications.

M-theory Galilean ABJM background related to the type IIA solutions.

Abstract

We obtain non-relativistic AdS4 X CP3 solutions with dynamical exponent 3 in type IIA string theory, both with and without Romans mass. The compactifications to four dimensions are found to describe Proca fields in anti-de Sitter spacetime. This leads us to conclude that the massive and massless IIA theories should be identified in four dimensions and the Romans mass should be identified with the `flux' along CP3 in a definite manner. From supergravity point of view, it is suggestive of some four-dimensional symmetry that rotates Romans mass into the flux along CP3. We also provide M-theory Galilean ABJM background which gives rise to the nonrelativistic type IIA solution.