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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). 082901. ISSN 0022-2488. (doi:10.1063/1.4928925)

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http://dx.doi.org/10.1063/1.4928925

Abstract

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: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Steffen Krusch
Date Deposited: 10 Dec 2014 12:42 UTC
Last Modified: 29 May 2019 13:53 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/45950 (The current URI for this page, for reference purposes)
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