New solutions for non-Abelian cosmic strings

Abstract

We study the properties of classical vortex solutions in a non-Abelian gauge theory. A system of two adjoint Higgs fields breaks the SU(2) gauge symmetry to $Z_2$, producing 't Hooft-Polyakov monopoles trapped on cosmic strings, termed beads; there are two charges of monopole and two degenerate string solutions. The strings break an accidental discrete $Z_2$ symmetry of the theory, explaining the degeneracy of the ground state. Further symmetries of the model, not previously appreciated, emerge when the masses of the two adjoint Higgs fields are degenerate. The breaking of the enlarged discrete symmetry gives rise to additional string solutions and splits the monopoles into four types of `semipole': kink solutions that interpolate between the string solutions, classified by a complex gauge invariant magnetic flux and a $Z_4$ charge. At special values of the Higgs self-couplings, the accidental symmetry broken by the string is continuous, giving rise to supercurrents on the strings. The SU(2) theory can be embedded in a wide class of Grand Unified Theories, including SO(10). We argue that semipoles and supercurrents are generic on GUT strings.

6 pages, 2 figures. We dedicate this paper to Tom Kibble; v2: some references added, typos fixed, phrasing changed in places; accepted by PRL

References in corpus (21)

• Cosmic strings
• Cosmic String Production Towards the End of Brane Inflation
• Cosmic F- and D-strings
• How generic is cosmic string formation in SUSY GUTs
• CMB power spectrum contribution from cosmic strings using field-evolution simulations of the Abelian Higgs model
• Numerical simulations of string networks in the Abelian-Higgs model
• On the Evolution of Abelian-Higgs String Networks
• Cosmic Necklaces and Ultrahigh Energy Cosmic Rays
• Semilocal Topological Defects
• Signals of Inflationary Models with Cosmic Strings
• CMB power spectra from cosmic strings: predictions for the Planck satellite and beyond
• Seeking String Theory in the Cosmos
• Evolution of cosmic superstring networks: a numerical simulation
• Scaling in a SU(2)/Z_3 model of cosmic superstring networks
• Monopoles on strings
• Dynamics of Cosmic Necklaces
• Numerical and asymptotic analysis of the 't Hooft-Polyakov magnetic monopole
• Monopole annihilation in cosmic necklaces
• Survival of pq-superstrings in field theory simulations
• Bosonic condensates in realistic supersymmetric GUT cosmic strings
• Bosonic structure of realistic SO(10) SUSY cosmic strings

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