27 citations · 77 across the 14 of their papers we have counts for
14 papers
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…
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…
Eguchi-Hanson harmonic spinors revisited
Guido Franchetti, Kirill Krasnov
We revisit the problem of determining the zero modes of the Dirac operator on the Eguchi-Hanson space. It is well known that there are no normalisable zero modes, but such zero mod…
The Asymptotic Structure of the Centred Hyperbolic 2-Monopole Moduli Space
Guido Franchetti, Calum Ross
We construct an asymptotic metric on the moduli space of two centred hyperbolic monopoles by working in the point particle approximation, that is treating well-separated monopoles…
Kaluza-Klein reductions of maximally supersymmetric five-dimensional lorentzian spacetimes
José Figueroa-O'Farrill, Guido Franchetti
A recent study of filtered deformations of (graded subalgebras of) the minimal five-dimensional Poincaré superalgebra resulted in two classes of maximally supersymmetric spacetimes…
Harmonic forms on asymptotically AdS metrics
Guido Franchetti, Raúl Sánchez Galán
In this paper we study the rotationally invariant harmonic cohomology of a 2-parameter family of Einstein metrics which admits a cohomogeneity one action of $SU (2) \times U (1…
Harmonic Forms and Spinors on the Taub-bolt Space
Guido Franchetti
This paper studies the space of harmonic forms and harmonic spinors on Taub-bolt, a Ricci-flat Riemannian 4-manifold of ALF type. We prove that the space of harmoni…
Harmonic Spinors on a Family of Einstein Manifolds
Guido Franchetti
The purpose of this paper is to study harmonic spinors defined on a 1-parameter family of Einstein manifolds which includes Taub-NUT, Eguchi-Hanson and with the Fubini-Stu…
Monopoles, instantons and the Helmholtz equation
Guido Franchetti, Rafael Maldonado
In this work we study the dimensional reduction of smooth circle invariant Yang-Mills instantons defined on 4-manifolds which are non-trivial circle fibrations over hyperbolic 3-sp…
Time evolution in a geometric model of a particle
Michael Atiyah, Guido Franchetti, Bernd Schroers
We analyse the properties of a (4+1)-dimensional Ricci-flat spacetime which may be viewed as an evolving Taub-NUT geometry, and give exact solutions of the Maxwell and gauged Dirac…
Harmonic forms on ALF gravitational instantons
Guido Franchetti
We study the space of square-integrable harmonic forms over ALF gravitational instantons of type and of type . We first calculate its dimension making use of…
Gravitational instantons as models for charged particle systems
Guido Franchetti, Nicholas S. Manton
In this paper we propose ALF gravitational instantons of types A_k and D_k as models for charged particle systems. We calculate the charges of the two families. These are -(k +1) f…
Exploiting quantum coherence of polaritons for ultra sensitive detectors
Guido Franchetti, Natalia G. Berloff, Jeremy J. Baumberg
Besides being superfluids, microcavity exciton-polariton condensates are capable of spontaneous pattern formation due to their forced-dissipative dynamics. Their macroscopic and ea…
Robustness and observability of rotating vortex-lattices in an exciton-polariton condensate
Magnus O. Borgh, Guido Franchetti, Jonathan Keeling +1
Exciton-polariton condensates display a variety of intriguing pattern-forming behaviors, particularly when confined in potential traps. It has previously been predicted that triang…