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New solutions for non-Abelian cosmic strings
High Energy Physics - Theory · Submitted 4 Jul 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We argue that semipoles and supercurrents are generic on GUT strings.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the properties of classical vortex solutions in a non-Abelian gauge theory. | contribution 0.86 | 0.88 | 0.03 | asserted 0.81 |
| s1 | 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. | result 0.68 | 0.75 | 0.14 | asserted 1.00 |
| s2 | The strings break an accidental discrete $Z_2$ symmetry of the theory, explaining the degeneracy of the ground state. | interpretation 0.75 | 0.73 | 0.07 | asserted 1.00 |
| s3 | Further symmetries of the model, not previously appreciated, emerge when the masses of the two adjoint Higgs fields are degenerate. | result 0.80 | 0.77 | 0.06 | asserted 0.99 |
| s4 | 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. | result 0.95 | 0.85 | 0.22 | asserted 1.00 |
| s5 | At special values of the Higgs self-couplings, the accidental symmetry broken by the string is continuous, giving rise to supercurrents on the strings. | result 0.98 | 0.78 | 0.09 | asserted 1.00 |
| s6 | The SU(2) theory can be embedded in a wide class of Grand Unified Theories, including SO(10). | interpretation 0.54 | 0.27 | 0.05 | asserted 0.98 |
| s7 | We argue that semipoles and supercurrents are generic on GUT strings. | interpretation 0.99 | 0.69 | 0.68 | hedged possibility 0.37 |
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The paper
Original 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.
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References
How the literature uses it
10 arXiv papers cite this in 20 sentences
Papers citing it · 13 sentences without a confident label
Uses its method or tool 1 paper
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For semipoles with $κ/2λ< 1$, this yields approximately half the semipoles; the rest are sources or sinks of a magnetic field $𝐁^(2)$ obtained by projecting out the $U(1)$ gauge field associated with $Φ_2$ [ref] .
Scaling in necklaces of monopoles and semipoles · Measurements · 0.81
Cites it as background 3 papers
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This theory has classical solutions which can be interpreted as 't Hooft-Polyakov monopoles or semipoles [ref] threaded by non-Abelian strings.
Numerical simulations of necklaces in SU(2) gauge-Higgs field theory · Conclusions · 0.88
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Depending on the value of the parameters of the potential, $m_1$, $m_2$, $λ$ and $κ$, the model can accommodate three different kinds of solutions, see Ref. [ref] :
Scaling in necklaces of monopoles and semipoles · Model · 0.92
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This work follows a number of numerical studies of non-Abelian gauge theories that implement lattice gauge theory in real time, including studies of preheating [ref] , electroweak baryogenesis [ref] , Chern-Simons theory [ref] , sphalerons [ref] , cosmic strings [ref] , and other studies of free Yang-Mills theory [ref] .
Non-Abelian gauge preheating · Introduction · 0.81
What it cites · 9 sentences without a confident label
Uses data or values from 1 paper
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From numerical measurements [ref] , the classical monopole mass is [equation]
Numerical and asymptotic analysis of the 't Hooft-Polyakov magnetic monopole · Introduction · 1.00
Cites as background 16 papers
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If $G$ is embedded in a larger global symmetry group, the strings may be “semi-local” [ref] and unstable if the scalar self-coupling is large enough [ref] .
Semilocal Topological Defects · Introduction · 0.81
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It has been variously argued that $d$ evolves to the string width [ref] or scales with the horizon [ref] .
Monopole annihilation in cosmic necklaces · Introduction · 0.88
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It has been variously argued that $d$ evolves to the string width [ref] or scales with the horizon [ref] .
Cosmic Necklaces and Ultrahigh Energy Cosmic Rays · Introduction · 0.88
Discussion
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