Homogeneous fluxes, branes and a maximally supersymmetric solution of M-theory

TL;DR

This paper discovers M-theory solutions with homogeneous fluxes on symmetric spaces, revealing supersymmetry preservation levels, symmetry superalgebras, and constructing new flux-brane solutions with potential implications for string theory.

Contribution

It introduces new homogeneous flux solutions in M-theory, analyzes their supersymmetry properties, and constructs novel flux-brane configurations.

Findings

Most solutions preserve 16 supersymmetries.

Two special solutions preserve all 32 supersymmetries.

New homogeneous flux-brane solutions are found.

Abstract

We find M-theory solutions with homogeneous fluxes for which the spacetime is a lorentzian symmetric space. We show that generic solutions preserve sixteen supersymmetries and that there are two special points in their moduli space of parameters which preserve all thirty-two supersymmetries. We calculate the symmetry superalgebra of all these solutions. We then construct various M-theory and string theory branes with homogeneous fluxes and we also find new homogeneous flux-brane solutions.