Five-dimensional Monopole Equation with Hedge-Hog Ansatz and Abel's Differential Equation

Details Five-dimensional Monopole Equation with Hedge-Hog Ansatz and Abel's Differential Equation Five-dimensional Monopole Equation with Hedge-Hog Ansatz and Abel's Differential Equation

2008-02-22

arxiv.org/abs/0802.3244v4

Phys.Rev.D77:127703,2008

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, 4 figures, typos corrected

Scientific paper

10.1103/PhysRevD.77.127703

We review the generalized monopole in the five-dimensional Euclidean space. A
numerical solution with the Hedge-Hog ansatz is studied. The Bogomol'nyi
equation becomes a second order autonomous non-linear differential equation.
The equation can be translated into the Abel's differential equation of the
second kind and is an algebraic differential equation.

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