Krusch, Steffen, Muhamed, Abera A (2015) Moduli Spaces of Lumps on Real Projective Space. Journal of Mathematical Physics, 56 (8). 082901. ISSN 00222488. (doi:10.1063/1.4928925) (KAR id:45950)
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Official URL 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 D2symmetric 7dimensional 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 RiemannHurwitz 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] SkyrmionSkyrmion 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:  06 May 2020 03:11 UTC 
Resource URI:  https://kar.kent.ac.uk/id/eprint/45950 (The current URI for this page, for reference purposes) 
Krusch, Steffen:  https://orcid.org/0000000331268635 
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