September 10, 2019
TITLE: Special Holonomy Metrics, Degenerate Limits and Intersecting Branes
ABSTRACT: The starting point for this talk is the degenerate limit of K3 constructed by Hein, Sun, Viaclovsky and Zhang, with a long neck that can be thought of as a 3-dimensional nilmanifold fibred over a line, with gravitational instanton insertions. Special holonomy generalisations of this neck region that are given by higher dimensional nilmanifolds fibred over a line will be discussed. They are dual to intersecting brane solutions, and this relation leads to more general solutions. The possibility of these arising as part of a degenerate limit of a compact special holonomy space will be considered, and applications to string theory will be explored.