Finite Energy Monopoles in Non-Abelian Gauge Theories on Odd-dimensional Spaces

Details Finite Energy Monopoles in Non-Abelian Gauge Theories on Odd-dimensional Spaces Finite Energy Monopoles in Non-Abelian Gauge Theories on Odd-dimensional Spaces

2008-10-27

arxiv.org/abs/0810.4750v2

Phys.Rev.D79:045021,2009

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 2 figures, 1 table

Scientific paper

10.1103/PhysRevD.79.045021

In higher dimensional gauge theory, we need energies with higher power terms of field strength in order to realize point-wise monopoles. We consider new models with higher power terms of field strength and extraordinary kinetic term of scalar field. Monopole charges are computed as integrals over spheres and they are related to mapping class degree. Hedge-Hog solutions are investigated in these models. Every differential equation for these solutions is Abel's differential equation. A condition for existence of finite energy solution is shown. Spaces of 1-jets of these equations are defined as sets of zeros of polynomials. Those spaces can be interpreted as singular quartic surfaces in three-dimensional complex projective space.

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