Topological Influence between Monopoles and Vortices: a Possible Resolution of the Monopole Problem

Details Topological Influence between Monopoles and Vortices: a Possible Resolution of the Monopole Problem Topological Influence between Monopoles and Vortices: a Possible Resolution of the Monopole Problem

2010-07-22

arxiv.org/abs/1007.3832v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 3 figures

Scientific paper

Grand unified theories of fundamental forces predict that magnetic monopoles are inevitable in the Universe because the second homotopy group of the order parameter manifold is $\mathbb{Z}$. We point out that monopoles can annihilate in pairs due to an influence of Alice strings. As a consequence, a monopole charge is charactarized by $\mathbb{Z}_2$ rather than $\mathbb{Z}$ if the Universe can accommodate Alice strings, which is the case of certain grand unified theories.

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