NR $CFT_3$ duals in M-theory

TL;DR

This paper explores supergravity solutions in eleven-dimensional M-theory that serve as duals to non-relativistic three-dimensional conformal field theories, focusing on specific internal geometries and flux configurations.

Contribution

It extends the search for dual solutions to M-theory with new internal space geometries and flux types, revealing supersymmetry-preserving and breaking solutions.

Findings

Only magnetic fluxes preserve two supersymmetries on S^2 x S^2.

S^2 x T^2 admits magnetic and electric fluxes, with electric fluxes breaking all supersymmetry.

The internal geometries influence the flux configurations and supersymmetry properties.

Abstract

We extend the search for supergravity solution duals of non-relativistic $d=3$ CFTs to $d=11$ supergravity. We consider the internal space to be an $S^2$ bundle over a product base: $S^2 \times S^2$ and $S^2 \times T^2$. For purely M-theoretic $S^2 \times S^2$, we find only magnetic fluxes preserving two supersymmetries. $S^2 \times T^2$ is far richer admitting in addition to magnetic fluxes, various non-trivial electric fluxes which break all supersymmetry.