Intersecting M-branes

TL;DR

This paper constructs magnetic dual solutions of intersecting membranes and 5-branes in 11-dimensional supergravity, revealing their properties and reductions to lower dimensions, including black holes and D-branes.

Contribution

It provides explicit magnetic dual solutions for intersecting M-branes and analyzes their supersymmetry, intersections, and dimensional reductions.

Findings

Magnetic duals of intersecting M-branes are constructed.

Solutions preserve 1/4 or 1/8 of supersymmetry.

Reduced solutions correspond to specific dilaton black holes and D-branes.

Abstract

We present the magnetic duals of G\"uven's electric-type solutions of D=11 supergravity preserving $1/4$ or $1/8$ of the D=11 supersymmetry. We interpret the electric solutions as $n$ orthogonal intersecting membranes and the magnetic solutions as $n$ orthogonal intersecting 5-branes, with $n=2,3$; these cases obey the general rule that $p$-branes can self-intersect on $(p-2)$-branes. On reduction to $D=4$ these solutions become electric or magnetic dilaton black holes with dilaton coupling constant $a=1$ (for $n=2$) or $a=1/\sqrt{3}$ (for $n=3$). We also discuss the reduction to D=10.