Anyonic Bogomol’nyi solitons in a gauged O(3) σ model

Kimm, Kyoungtae; Lee, Kimyeong; Lee, Tae-Jin

doi:10.1103/physrevd.53.4436

Cited by 73 publications

(86 citation statements)

References 15 publications

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“…However, due to the linear relation between the magnetic field and the electric charge density, a |Φ|-dependent magnetic energy density appears, which in flat space mimics exactly the Maxwellian energy density in the GMH system, as will be shown below. This sheds new light on the well-known self-dual solutions of the Chern-Simons gauged O(3) sigma model [34,35,36,37]. The self-dual solutions of the Chern-Simons type of the Abelian Higgs system [38,39], fit also to this framework by the obvious choice E 1 (|Φ|) = 1.…”

Section: Chern-simons Type Of the Generalized Higgs Modelmentioning

confidence: 72%

“…However, these three values U (0), U (v) and U (∞) are generally different from each other, and each of them vanishes for a different value of λ. Since vanishing value of the potential minimum is an essential property of our localized solutions, we encounter here a situation which differs from that in flat space [35], where all three possible boundary conditions are realized for the same potential. In the gravitating case, each kind is realized for a different value of λ.…”

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confidence: 99%

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Self-dual cosmic strings and gravitating vortices in gauged sigma models

Verbin

Madsen²,

Larsen³

2003

Phys. Rev. D

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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.

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Section: Chern-simons Type Of the Generalized Higgs Modelmentioning

confidence: 72%

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confidence: 99%

Self-dual cosmic strings and gravitating vortices in gauged sigma models

Verbin

Madsen²,

Larsen³

2003

Phys. Rev. D

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“…A further motivation to this question is provided by the analysis of the CP (1) Maxwell-Chern-Simons model in [3]. In [3] the authors analyze an elliptic system, whose solutions correspond to vortex solutions for the self-dual CP (1) Maxwell-Chern-Simons model introduced in [4]. Their system (in a special case) is given by:…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

Asymptotics for some nonlinear elliptic systems in Maxwell-Chern-Simons vortex theory

Ricciardi

2003

Topological Methods, Variational Methods and Their Applications

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“…Concerning the Chern-Simons term, topological and nontopological defects were analyzed in [46,47]. Also, the gauged (3) sigma model with both Maxwell and the Chern-Simons terms was studied in [48,49].…”

Section: Introductionmentioning

confidence: 99%

Self-Dual Effective Compact and True Compacton Configurations in Generalized Abelian Higgs Models

Casana

Lazar

Sourrouille

2018

Advances in High Energy Physics

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We have studied the existence of self-dual effective compact and true compacton configurations in Abelian Higgs models with generalized dynamics. We have named an effective compact solution the one whose profile behavior is very similar to the one of a compacton structure but still preserves a tail in its asymptotic decay. In particular, we have investigated the electrically neutral configurations of the Maxwell-Higgs and Born-Infeld-Higgs models and the electrically charged ones of the Chern-Simons-Higgs and Maxwell-Chern-Simons-Higgs models. The generalization of the kinetic terms is performed by means of dielectric functions in gauge and Higgs sectors. The implementation of the BPS formalism without the need to use a specific Ansatz has led us to the explicit determination for the dielectric function associated with the Higgs sector to be proportional to | | 2 −2 , > 1. Consequently, the followed procedure allows us to determine explicitly new families of self-dual potential for every model. We have also observed that, for sufficiently large values of , every model supports effective compact vortices. The true compacton solutions arising for = ∞ are analytical. Therefore, these new self-dual structures enhance the space of BPS solutions of the Abelian Higgs models and they probably will imply interesting applications in physics and mathematics.

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Anyonic Bogomol’nyi solitons in a gauged O(3) σ model

Cited by 73 publications

References 15 publications

Self-dual cosmic strings and gravitating vortices in gauged sigma models

Self-dual cosmic strings and gravitating vortices in gauged sigma models

Asymptotics for some nonlinear elliptic systems in Maxwell-Chern-Simons vortex theory

Self-Dual Effective Compact and True Compacton Configurations in Generalized Abelian Higgs Models

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