collaborators

6 papers

math.DG2026

The metric for hyperbolic 2-monopoles

Guido Franchetti, Derek Harland

It has been recently shown that the notoriously divergent metric on the moduli space of hyperbolic monopoles can be made finite by the introduction of a modified gauge fixi…

hep-th2026

A Nahm transform for rotating calorons

Josh Cork, Derek Harland

Rotating calorons were introduced in the context of rotating quark-gluon plasmas. They are anti-self-dual gauge fields on that are invariant under a glide rotation.…

hep-th2026

Shape modes of vortices

Nora Gavrea, Derek Harland, Martin Speight

In this paper we investigate the existence of internal modes of vortices in the gauged sigma model. We develop a clean geometric formalism that highlights the symme…

math-ph2026

The 3d mixed BF Lagrangian 1-form: a variational formulation of Hitchin's integrable system

Vincent Caudrelier, Derek Harland, Anup Anand Singh +1

We introduce the concept of gauged Lagrangian -forms, extending the notion of Lagrangian -forms to the setting of gauge theories. This general formalism is applied to a natur…

math.DG2025

geometry of hyperbolic monopoles

Guido Franchetti, Derek Harland

It is well-known that the metric on the moduli space of hyperbolic monopoles, defined using the Coulomb gauge-fixing condition, diverges. This article shows that an alternati…

math-ph2025

On the geometry of Lagrangian one-forms

Vincent Caudrelier, Derek Harland

Lagrangian multiform theory is a variational framework for integrable systems. In this article we introduce a new formulation which is based on symplectic geometry and which treats…