Krusch, Steffen and Speight, J.Martin (2010) Exact moduli space metrics for hyperbolic vortex polygons. Journal of Mathematical Physics, 51 (2). 022304022316. ISSN 00222488 . (doi:10.1063/1.3277189) (Full text available)
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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 Nvortices are derived. These submanifolds, denoted as Sigma_{n,m}, are spaces of C_ninvariant 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 ChernSimons vortices,” Phys. Rev. D Part. Fields Gravit. Cosmol. 78, 065013 (2008);eprint arXiv:hepth/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:  18 Jul 2014 08:30 
Resource URI:  https://kar.kent.ac.uk/id/eprint/23722 (The current URI for this page, for reference purposes) 
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