تقرير
Moduli Spaces of Lumps on Real Projective Space
| العنوان: | Moduli Spaces of Lumps on Real Projective Space |
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| المؤلفون: | Krusch, Steffen, Muhamed, Abera A. |
| سنة النشر: | 2014 |
| المجموعة: | Mathematics High Energy Physics - Theory Mathematical Physics |
| مصطلحات موضوعية: | High Energy Physics - Theory, Mathematical Physics |
| الوصف: | Harmonic maps that minimise 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 $7$-dimensional manifold of cohomogeneity one which can be described as a one-parameter family of symmetry orbits of $D_2$ symmetric maps. 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 formulas for various geometric quantities. We also discuss the implications for lump decay. Comment: 25 pages, 3 figures, this version is accepted for publication in JMP |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1063/1.4928925 |
| URL الوصول: | http://arxiv.org/abs/1412.2660 |
| رقم الأكسشن: | edsarx.1412.2660 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1063/1.4928925 |
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