Supersymmetric Electroweak Cosmic Strings

Details Supersymmetric Electroweak Cosmic Strings Supersymmetric Electroweak Cosmic Strings

1996-05-10

arxiv.org/abs/hep-th/9605066v1

Phys.Rev. D55 (1997) 3811-3819

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, RevTeX

Scientific paper

10.1103/PhysRevD.55.3811

We study the connection between $N=2$ supersymmetry and a topological bound in a two-Higgs-doublet system with an $SU(2)\times U(1)_Y\times U(1)_{Y^{\prime}}$ gauge group. We derive the Bogomol'nyi equations from supersymmetry considerations showing that they hold provided certain conditions on the coupling constants, which are a consequence of the huge symmetry of the theory, are satisfied. Their solutions, which can be interpreted as electroweak cosmic strings breaking one half of the supersymmetries of the theory, are studied. Certain interesting limiting cases of our model which have recently been considered in the literature are finally analyzed.

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