- 09/12/2023: On nearby special Lagrangians
- 09/11/2022: Coulomb and Higgs phases of G_2 manifolds

### September 12, 2023

TITLE: Coulomb and Higgs phases of G_2 manifolds

ABSTRACT: We will discuss the physics of M-theory compactifications onto G_2-orbifolds of the type that can be resolved via the method of Joyce and Karigiannis i.e. orbifolds where one has a singular locus of A_{1} singularities that admits a nowhere-vanishing Z_2-twisted) harmonic 1-form. We will see that topologically distinct desingularisations of such orbifolds can be physically interpreted as different branches of the 4d vacuum moduli space known as ‘Coulomb’ and ‘Higgs’ branches. The results suggest generalisations of the results of Joyce and Karigiannis to G_2-orbifolds with more diverse ADE singularities and higher order twists.

### September 11, 2022

TITLE: On the physics of Joyce-Karigiannis manifolds

ABSTRACT: We will discuss the physics of M-theory compactifications onto G_{2}-orbifolds of the type that can be resolved via the method of Joyce and Karigiannis i.e. orbifolds where one has a singular locus of A_{1} singularities that admits a nowhere-vanishing (**Z**_{2}-twisted) harmonic 1-form. We also discuss natural generalisations of these orbifolds (not currently resolvable by the method of Joyce-Karigiannis) and give proposals for the physics in these cases too.