Supersymmetric Electroweak Cosmic Strings

Abstract

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.

20 pages, RevTeX

References in corpus (8)

• Supergravity and a Bogomol'nyi Bound in Three Dimensions
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• Cosmic Strings are Current-Carrying
• Membranes in the two-Higgs standard model
• Semi-local Cosmic Strings and the Cosmological Constant Problem
• Cosmic Electroweak Strings
• Binary Cosmic Strings
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Cited by in corpus (2)

• Phases of dual superconductivity and confinement in softly broken N=2 supersymmetric Yang-Mills theories
• Half-BPS cosmic string in N=2 supergravity in the presence of a dilaton