Non-relativistic M-Theory solutions based on Kaehler-Einstein spaces

TL;DR

This paper constructs new non-supersymmetric non-relativistic solutions in D=11 supergravity using Kaehler-Einstein spaces, revealing dualities with non-relativistic conformal field theories and exploring various dynamical exponents.

Contribution

It introduces a novel class of non-supersymmetric solutions based on Kaehler-Einstein manifolds with a consistent reduction to five dimensions, expanding the landscape of non-relativistic supergravity solutions.

Findings

Solutions with dynamical exponent z=4 and z=2 were found.

The solutions can be uplifted to D=11 supergravity.

The dual non-relativistic CFTs exhibit specific symmetry properties.

Abstract

We present new families of non-supersymmetric solutions of D=11 supergravity with non-relativistic symmetry, based on six-dimensional Kaehler-Einstein manifolds. In constructing these solutions, we make use of a consistent reduction to a five-dimensional gravity theory coupled to a massive scalar and vector field. This theory admits a non-relativistic CFT dual with dynamical exponent z=4, which may be uplifted to D=11 supergravity. Finally, we generalise this solution and find new solutions with various z, including z=2.