- 3/15/2023: Geometrizing Domain Walls in 5D SCFTs
- 10/26/2020: Higgs Bundles & Exceptional Holonomy
- 4/09/2019: Spin7 Connected Sums and String Theory Dualities
- 1/10/2019: Exceptional Holonomy, String Duality and Vector Bundles
- 9/14/2017: Mirror Symmetry for G2 manifolds
- 6/17/2017: Mirror Symmetry for G2 manifolds (see arXiv:1701.05202)
March 15, 2023
TITLE: Geometrizing Domain Walls in 5D SCFTs
ABSTRACT: Five-dimensional SCFTS can be geometrically engineered via canonical singlarities of Calabi-Yau threefolds. These theories admit domain wall solutions preserving 4D N=1 supersymmetry. In this talk I will present several detailed examples in which these domain wall solutions can be described purely in terms of geometry. This gives rise to some known and some new (conjectural) singular G2 geometries.
October 26, 2020
TITLE: Higgs Bundles & Exceptional Holonomy
Slides of Lecture
April 9, 2019
TITLE: Spin7 Connected Sums and String Theory Dualities
January 10, 2019
TITLE: Exceptional Holonomy, String Duality and Vector Bundles
ABSTRACT: Physics implies that the same data which specify a Calabi-Yau manifold together with a suitable holomorphic vector bundle can equally be used to specify a manifold. After reviewing the ideas which lead to this connection, detailing some of its aspects and giving detailed examples, I will explains that a similar relationship exists for manifolds with suitable vector bundles and Spin(7) manifolds. This can e.g. be used to construct instantons.
September 14, 2017
TITLE: Mirror Symmetry for G2 manifolds
ABSTRACT: String theories on different manifolds can lead to the same physics in a phenomenon called mirror symmetry. In this talk, I will review mirror symmetry for manifolds, focusing on recent progress. In particular, I will present constructions of mirror manifolds realized as twisted connected sums.