Towards supersymmetric cosmology in M theory

TL;DR

This paper introduces a novel time-dependent supersymmetric solution in heterotic M-theory, demonstrating an expanding universe with a shrinking extra dimension while maintaining supersymmetry.

Contribution

It provides the first example of a time-dependent supersymmetric solution in M-theory on S^1/Z_2, expanding the understanding of cosmological models within M-theory frameworks.

Findings

First time-dependent supersymmetric solution in M-theory on S^1/Z_2.

Describes an expanding 4D universe with a shrinking extra dimension.

Maintains N=1 supersymmetry in 4D at leading order.

Abstract

We present a new solution in the heterotic M-theory in which the metric depends on (cosmic) time. The solution preserves N=1 supersymmetry in 4 dimensions in the leading order of the $\kappa^{2/3}$ expansion. It is the first example of the time-dependent supersymmetric solution in M-theory on $S^1/Z_2$. It describes expanding 4-dimensional space-time with shrinking orientifold interval and static Calabi-Yau internal space.