Intersections involving waves and monopoles in eleven dimensions

TL;DR

This paper explores complex intersections of gravitational objects like monopoles and waves in eleven-dimensional supergravity, including branes, revealing maximal configurations and their lower-dimensional reductions.

Contribution

It constructs new solutions involving monopoles, waves, and branes in eleven dimensions, identifying the maximal intersection configurations and their two-dimensional reductions.

Findings

Maximal intersection configurations involve nine objects.

Reduced solutions in two dimensions correspond to 0-branes with specific dilaton coupling.

New explicit solutions expand understanding of M-theory brane intersections.

Abstract

We consider intersections in eleven dimensions involving Kaluza-Klein monopoles and Brinkmann waves. Besides these purely gravitational configurations we also construct solutions to the equations of motion that involve additional M2- and M5-branes. The maximal number of independent objects in these intersections is nine, and such maximal configurations, when reduced to two dimensions, give rise to a 0-brane solution with dilaton coupling a=-4/9.