Supersymmetric Intersections of M-branes and pp-waves

TL;DR

This paper investigates how M2 and M5 branes intersect with various pp-waves in M-theory, analyzing supersymmetry preservation through probe and supergravity solutions, revealing conditions for supersymmetric configurations.

Contribution

It provides a systematic analysis of supersymmetric intersections of M-branes with pp-waves, including explicit supergravity solutions and supersymmetry conditions.

Findings

Supersymmetric conditions depend on the pp-wave's supersymmetry level.

Constructed supergravity solutions preserve the same supersymmetries as probe analysis.

Solutions are generally delocalized along transverse directions.

Abstract

We study supersymmetric intersections of M2 and M5 branes with different pp-waves of M-theory. We consider first M-brane probes in the background of pp-waves and determine under which conditions the embedding is supersymmetric. We particularize our formalism to the case of pp-waves with 32, 24 and 20 supersymmetries. We also construct supergravity solutions for the brane-wave system. Generically these solutions are delocalised along some directions transverse to the brane and preserve the same number of supersymmetries as in the brane probe approach.