# Special Holonomy Manifolds, Domain Walls, Intersecting Branes and T-folds

## TL;DR

This paper explores special holonomy manifolds derived from supergravity solutions, revealing their dualities to intersecting branes and non-geometric backgrounds, and discusses potential resolutions to smooth these spaces.

## Contribution

It introduces a broader class of special holonomy metrics related to intersecting and exotic branes, extending previous constructions via dualities.

## Key findings

- Duality between special holonomy metrics and intersecting brane solutions
- Connection of non-geometric backgrounds to special holonomy spaces
- Potential for resolving singularities to smooth manifolds

## Abstract

We discuss the special holonomy metrics of Gibbons, Lu, Pope and Stelle, which were constructed as nilmanifold bundles over a line by uplifting supersymmetric domain wall solutions of supergravity to 11 dimensions. We show that these are dual to intersecting brane solutions, and considering these leads us to a more general class of special holonomy metrics. Further dualities relate these to non-geometric backgrounds involving intersections of branes and exotic branes. We discuss the possibility of resolving these spaces to give smooth special holonomy manifolds.