Schrodinger invariant solutions of M-theory with Enhanced Supersymmetry

TL;DR

This paper derives the most general 11D supergravity solutions with specific non-relativistic symmetries, extending previous work, but finds no gravity dual for the non-relativistic ABJM theory within their assumptions.

Contribution

It provides a comprehensive classification of Schrodinger invariant solutions in M-theory with enhanced supersymmetry, extending prior solutions and analyzing their implications.

Findings

No gravity dual for non-relativistic ABJM within assumptions

Extended known solutions with additional parameters

Commented on uplifted IIB solutions in 11D context

Abstract

We find the most general solution of 11-dimensional supergravity compatible with N=2 super-Schrodinger symmetry with six supercharges and SU(2) x SU(2) x U(1) x Z_2 global symmetry. It can be viewed as a one-parameter extension of a recently constructed solution by Ooguri and Park. Our original motivation was to find the gravity dual of the non-relativistic ABJM theory. But, our analysis shows that no such solution exists within the reach of our assumptions. We discuss possible reasons for the non-existence of the desired solution. We also uplift a super-Schrodinger solution in IIB supergravity of Donos and Gauntlett to 11-dimension and comment on its properties.