Skip to main content

Exact moduli space metrics for hyperbolic vortex polygons

Krusch, Steffen, Speight, J.Martin (2010) Exact moduli space metrics for hyperbolic vortex polygons. Journal of Mathematical Physics, 51 (2). 022304-022316. ISSN 0022-2488. (doi:10.1063/1.3277189) (KAR id:23722)

PDF (http://xxx.lanl.gov/abs/0906.2007) Pre-print
Language: English
Download (282kB) Preview
[thumbnail of http://xxx.lanl.gov/abs/0906.2007]
Preview
This file may not be suitable for users of assistive technology.
Request an accessible format
Official URL
http://dx.doi.org/10.1063/1.3277189

Abstract

Exact metrics on some totally geodesic submanifolds of the moduli space of static hyperbolic N-vortices are derived. These submanifolds, denoted as Sigma_{n,m}, are spaces of C_n-invariant vortex configurations with n single vortices at the vertices of a regular polygon and m=N?n coincident vortices at the polygon's center. The geometric properties of Sigma_{n,m} are investigated, and it is found that Sigma_{n,n?1} is isometric to the hyperbolic plane of curvature ?(3 pi n)^{?1}. The geodesic flow on Sigma_{n,m} and a geometrically natural variant of geodesic flow recently proposed by Collie and Tong [“The dynamics of Chern-Simons vortices,” Phys. Rev. D Part. Fields Gravit. Cosmol. 78, 065013 (2008);e-print arXiv:hep-th/0805.0602] are analyzed in detail.

Item Type: Article
DOI/Identification number: 10.1063/1.3277189
Subjects: Q Science > QA Mathematics (inc Computing science) > QA440 Geometry
Q Science > QC Physics > QC20 Mathematical Physics
Q Science > QC Physics > QC174.12 Quantum theory > QC174.26.W28 Topological solitons
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Steffen Krusch
Date Deposited: 09 Jul 2010 08:40 UTC
Last Modified: 16 Nov 2021 10:02 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/23722 (The current URI for this page, for reference purposes)
Krusch, Steffen: https://orcid.org/0000-0003-3126-8635
  • Depositors only (login required):