Covariant Derivatives in the Hull-Strominger System

This project will explore the relationship between covariant derivatives on a certain parameter space and deformation theory. The derivatives are covariant under a set of gauge symmetries on the moduli space. We aim to compute the second-order derivatives and determine to what extent they commute. This has an implication for whether the deformation theory of a set of PDEs deriving from string theory, known as the Hull-Strominger system, is commutative.

Jack Bridge

The University of New England

Jack is a third-year mathematics student completing a Bachelor of Science at the University of New England as well as a Bachelor of Languages majoring in German and French. In the later stages of his undergraduate, he is developing a keen interest for mathematical physics and anything with a differential flavour. He is looking forward to the VRS as a first step into research and pursuing his areas of interest outside of the standard university course. His hobbies include learning languages, Olympic lifting, gymnastics and reading.

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