Yang-Mills-Higgs Equations on Spherical Orbifolds

Yang-Mills-Higgs Equations on Spherical Orbifolds

In this paper we study (static) solutions of the rank 2 Yang-Mills-Higgs equations on the Riemann sphere, with concical singularities, that bifurcate from constant curvature connections. We focus attention on the case where there are exactly four such singularities. This study brings together ideas...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2024-04
1. Verfasser: Ercolani, Nicholas M
Format: Artikel
Sprache:eng
Schlagworte:
Curvature
Gauge theory
Mathematical analysis
Riemann manifold
Riemann surfaces
Singularity (mathematics)
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper we study (static) solutions of the rank 2 Yang-Mills-Higgs equations on the Riemann sphere, with concical singularities, that bifurcate from constant curvature connections. We focus attention on the case where there are exactly four such singularities. This study brings together ideas from the gauge theory of constant curvature connections on vector bundles over singular Riemann surfaces with the Riemann-Hilbert analysis of classical Fuchsian ODEs.
ISSN:2331-8422