Supertubes in reduced holonomy manifolds

TL;DR

This paper demonstrates the existence of supertube configurations in all supersymmetric type IIA backgrounds with reduced holonomy manifolds, expanding understanding of their geometric and supersymmetric properties.

Contribution

It generalizes supertube solutions to all geometrical type IIA backgrounds with at least one flat direction, preserving varying fractions of supersymmetry.

Findings

Supertubes exist in all R^{1,1} x M_8 backgrounds with reduced holonomy.

Constructed supergravity backgrounds preserve 1/4 to 1/32 of supercharges.

Supertubes preserve 1/4 of the supersymmetry of the manifold M_8.

Abstract

We show that the supertube configurations exist in all supersymmetric type IIA backgrounds which are purely geometrical and which have, at least, one flat direction. In other words, they exist in any spacetime of the form R^{1,1} x M_8, with M_8 any of the usual reduced holonomy manifolds. These generalised supertubes preserve 1/4 of the supersymmetries preserved by the choice of the manifold M_8. We also support this picture with the construction of their corresponding family of IIA supergravity backgrounds preserving from 1/4 to 1/32 of the total supercharges.