Krusch, Steffen and Speight, J.M. (2010) Exact moduli space metrics for hyperbolic vortex polygons. Journal of Mathematical Physics, 51 (2). 022304-022316. ISSN 0022-2488 .
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| 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 |
|---|---|
| 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: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics |
| Depositing User: | Steffen Krusch |
| Date Deposited: | 09 Jul 2010 08:40 |
| Last Modified: | 09 Jul 2010 08:40 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/23722 (The current URI for this page, for reference purposes) |
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