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Moduli Spaces of Lumps on Real Projective Space

Krusch, Steffen, Muhamed, Abera A (2015) Moduli Spaces of Lumps on Real Projective Space. Journal of Mathematical Physics, 56 (8). Article Number 082901. ISSN 0022-2488. (doi:10.1063/1.4928925) (KAR id:45950)

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Harmonic maps that minimize the Dirichlet energy in their homotopy classes are known as lumps. Lump solutions on real projective space are explicitly given by rational maps subject to a certain symmetry requirement. This has consequences for the behaviour of lumps and their symmetries. An interesting feature is that the moduli space of charge three lumps is a D2-symmetric 7-dimensional manifold of cohomogeneity one. In this paper, we discuss the charge three moduli spaces of lumps from two perspectives: discrete symmetries of lumps and the Riemann-Hurwitz formula. We then calculate the metric and find explicit formula for various geometric quantities. We also discuss the implications for lump decay.

Item Type: Article
DOI/Identification number: 10.1063/1.4928925
Projects: [159] Skyrmion-Skyrmion Scattering and Nuclear Physics Official URL
Subjects: Q Science > QA Mathematics (inc Computing science) > QA440 Geometry
Q Science > QC Physics > QC174.12 Quantum theory > QC174.26.W28 Topological solitons
Q Science > QC Physics > QC20 Mathematical Physics
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Steffen Krusch
Date Deposited: 10 Dec 2014 12:42 UTC
Last Modified: 16 Feb 2021 13:21 UTC
Resource URI: (The current URI for this page, for reference purposes)
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