Self-Dual Cosmic Strings and Gravitating Vortices in Gauged Sigma Models

Abstract

Cosmic strings are considered in two types of gauged sigma models, which generalize the gravitating Abelian Higgs model. The two models differ by whether the U(1) kinetic term is of the Maxwell or Chern-Simons form. We obtain the self-duality conditions for a general two-dimensional target space defined in terms of field dependent "dielectric functions". In particular, we analyze analytically and numerically the equations for the case of O(3) models (two-sphere as target space), and find cosmic string solutions of several kinds as well as gravitating vortices. We classify the solutions by their flux and topological charge. We note an interesting connection between the Maxwell and Chern-Simons type models, which is responsible for simple relations between the self-dual solutions of both types. There is however a significant difference between the two systems, in that only the Chern-Simons type sigma model gives rise to spinning cosmic vortices.

arXiv comment18 pages, 8 figures; final version to appear in PRD. Minor changes

References in corpus (24)

• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• MAXIMA-1: A Measurement of the Cosmic Microwave Background Anisotropy on angular scales of 10 arcminutes to 5 degrees
• Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
• Gravitational wave bursts from cusps and kinks on cosmic strings
• Bogomol'nyi solitons in a gauged $O(3)$ sigma model
• Cosmic microwave background anisotropy from wiggly strings
• Gamma ray bursts from superconducting cosmic strings
• Evidence against or for topological defects in the BOOMERanG data ?
• First results from the Very Small Array -- III. The CMB power spectrum
• Topological and Nontopological Solitons in a Gauged O(3) Sigma Model with Chern-Simons term
• Anyonic Bogomol'nyi Solitons in a Gauged O(3) Sigma Model
• Complete Classification of the String-like Solutions of the Gravitating Abelian Higgs Model
• Brane dynamics for treatment of cosmic strings and vortons
• Fluctuations in the CMB Induced by Cosmic Strings: Methods and Formalism
• Can high energy cosmic rays be vortons ?
• Gravitating Chern-Simons vortices
• Chern-Simons Vortices in Supergravity
• On the Question of Degeneracy of Topological Solitons in a Gauged O(3) Non-Linear Sigma Model with Chern-Simons Term
• Flux-Confinement in Dilatonic Cosmic Strings
• Magnetic Vortices in a Gauged O(3) Sigma Model with Symmetry Breaking Self-Interaction
• Gravitating $\sigma$ Model Solitons
• Construction of Cosmic String Induced Temperature Anisotropy Maps with CMBFAST and Statistical Analysis
• Classification of String-like Solutions in Dilaton Gravity
• Gravitating Self-dual Chern-Simons Solitons

Cited by in corpus (7)

• Fermions in Self-dual Vortex Background on a String-like Defect
• Supersymmetric Strings and Waves in D=3, N=2 Matter Coupled Gauged Supergravities
• New Supersymmetric Solutions in N=2 Matter Coupled AdS_3 Supergravities
• Deformation method for generalized Abelian Higgs-Chern-Simons models
• Non-Singular Stationary Global Strings
• Dirac quantization of a nonminimal gauged O(3) sigma model
• Two species of semi-local cosmic strings in Abelian gauged ${\mathbb{CP}}^2$-sigma models coupled to gravity