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Bobby Acharya: Lectures

September 11, 2017
TITLE: M-theory/heterotic/type IIA duality

Slides of Lecture


 

June 6, 2017
TITLE: M-theorists’ fantasy shopping list for singular G2 manifolds

Slides of Lecture


January 9, 2017
TITLE: M theory and Type IIA superstring theory: Six-dimensional limits of G2 Manifolds

ABSTRACT: M theory spacetimes which are “fibered” by a circle have an alternative description in Type IIA
superstring theory in the limit that the circle is small. Supersymmetry in Type IIA theory leads to
spacetimes that are “Calabi-Yau threefolds with anti-holomorphic involutions together with special Lagrangian
D-branes and magnetic flux”. M theory/Type IIA duality requires that these arise as S1 collapsed limits of holonomy
G_2-manifolds. I will try and review this picture and emphasise the many open mathematical problems. Time permitting,
I will also discuss how “open Gromov-Witten theory” could be related to associative sub manifolds in M theory.


September 15, 2016
TITLE: Codimension seven singularities in M-theory compactifications

Slides of Talk

September 15, 2016
TITLE: Beyond the standard model

Slides of Talk

September 13, 2016
TITLE: The Standard model of particle physics

Slides of Talk

September 12, 2016
TITLE: Particle physics for mathmematicians

Slides of Talk

September 6, 2016
TITLE: G₂-manifolds and Particle Physics

ABSTRACT: G_2-holonomy spaces serve as well motivated models of the seven extra dimensions of space predicted by M-theory. I will review how this leads to a completely geometric picture of all the known elementary forces including gravity. Special kinds of singularity of G_2-spaces play a crucial role in this picture, which one might regard as a generalisation of the McKay correspondence. I will try to describe some mathematical problems which have arisen from this work concerning the existence of G_2-holonomy metrics with singularities and questions about the moduli space of G_2-manifolds.

Slides of Talk