A Dielectric Flow Solution with Maximal Supersymmetry

TL;DR

This paper presents an eleven-dimensional supergravity solution featuring M2-branes within a dielectric distribution of M5-branes, exhibiting maximal supersymmetry unexpectedly for such a configuration.

Contribution

It provides the explicit eleven-dimensional solution and Killing spinors, revealing a novel duality rotation of the M2-brane projection matrix.

Findings

Solution has maximal supersymmetry with sixteen supercharges.

Explicit eleven-dimensional form of the solution is derived.

Killing spinors are characterized by a duality rotation.

Abstract

We obtain a solution to eleven-dimensional supergravity that consists of M2-branes embedded in a dielectric distribution of M5-branes. Contrary to normal expectations, this solution has maximal supersymmetry for a brane solution (i.e. sixteen supercharges). While the solution is constructed using gauged supergravity in four dimensions, the complete eleven-dimensional solution is given. In particular, we obtain the Killing spinors explicitly, and we find that they are characterised by a duality rotation of the standard Dirichlet projection matrix for M2-branes.