Supertubes and special holonomy

TL;DR

This paper constructs a new supersymmetric 6-brane solution in IIA Supergravity via T-duality, revealing a geometrical configuration with special holonomy related to bound states of Taub-NUT space and pp-waves.

Contribution

It introduces a novel supersymmetric 6-brane solution with special holonomy by T-dualizing a supertube, and interprets it as a bound state involving Taub-NUT space and pp-waves.

Findings

The solution preserves 1/4 supersymmetry.

The uplifted geometry has non-compact holonomy.

The configuration is a bound state of Taub-NUT and pp-wave.

Abstract

We obtain a $\frac 14$-supersymmetric 6-brane solution of IIA Supergravity by T-dualizing the supertube recently found. The resulting $C_{\it 1}$ electric charge is related to the original $D0$-brane charge. The uplifted solution to eleven dimensions results to be a purely geometrical configuration, which can be interpreted as a bound state of a Taub-NUT space and a pp-wave. Being the non trivial part of the metric pseudo-Riemannian, the resulting reduced holonomy group is non-compact and locally isomorphic to a semidirect product of an Abelian four dimensional group and SU(2).