pp-waves in 11-dimensions with extra supersymmetry

TL;DR

This paper analyzes eleven-dimensional supergravity pp-wave solutions, revealing configurations that preserve various amounts of supersymmetry, including some with more than the generic number, thus expanding understanding of supersymmetric backgrounds.

Contribution

It identifies new pp-wave solutions in eleven-dimensional supergravity that preserve 18, 20, 22, and 24 supersymmetries, beyond previously known solutions.

Findings

Solutions preserve 18, 20, 22, and 24 supersymmetries

Generic solution preserves 16 supersymmetries

Kowalski-Glikman solution preserves 32 supersymmetries

Abstract

The Killing spinor equations for pp-wave solutions of eleven dimensional supergravity are analysed and it is shown that there are solutions that preserve 18,20,22 and 24 supersymmetries, in addition to the generic solution preserving 16 supersymmetries and the Kowalski-Glikman solution preserving 32 supersymmetries.