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Electrostatic structures have been observed in many regions of space plasmas, including the solar wind, the magnetosphere, the auroral acceleration region, and in association with shocks, turbulence, and magnetic reconnection. Due to…

Space Physics · Physics 2015-05-28 C. S. Ng , S. J. Soundararajan , E. Yasin

We study a Maxwell-$CP(2)$ model coupled to a real scalar field through a dielectric function multiplying the Maxwell term. In such a context, we look for first-order rotationally symmetric solitons by means of the Bogomol'nyi algorithm,…

High Energy Physics - Theory · Physics 2019-03-29 J. Andrade , R. Casana , E. da Hora , C. dos Santos

We obtain both topological as well as nontopological self-dual charged vortex solutions of finite energy per unit length in a generalized abelian Higgs model in $3+1$ dimensions. In this model the Bogomol'nyi bound on the energy per unit…

High Energy Physics - Theory · Physics 2007-05-23 Pijush K. Ghosh , Avinash Khare

In this work we deal with vortices in Maxwell-Higgs or Chern-Simons-Higgs models that engender long range tails. We find first order differential equations that support minimum energy solutions which solve the equations of motion. In the…

High Energy Physics - Theory · Physics 2020-07-29 I. Andrade , D. Bazeia , M. A. Marques , R. Menezes

We present a series of existence theorems for multiple vortex solutions in the Gudnason model of the ${\cal N}=2$ supersymmetric field theory where non-Abelian gauge fields are governed by the pure Chern--Simons dynamics at dual levels and…

Analysis of PDEs · Mathematics 2021-01-28 Xiaosen Han , Chang-Shou Lin , Gabriella Tarantello , Yisong Yang

We investigate the presence of vortex structures in a Maxwell model with a logarithmic generalization. This generalization becomes important because it generates stationary field solutions in models that describe the dynamics of a scalar…

High Energy Physics - Theory · Physics 2020-12-02 F. C. E. Lima , C. A. S. Almeida

We find the charged spinless vortices in the effective field theory of a Schr\"{o}dinger type complex scalar field of Cooper pair, a U(1) gauge field of electromagnetism, and a gapless neutral scalar field of acoustic phonon. We show that…

Superconductivity · Physics 2025-05-08 Yoonbai Kim , SeungJun Jeon , Hanwool Song

We discuss a class of effective extensions of the $SU(2)$ Georgi-Glashow model and discuss its Bogomol'nyi-Prasad-Sommerfield (BPS) limit. We identify a specific subclass of these models that admit analytical solutions of the monopole type.…

High Energy Physics - Theory · Physics 2023-12-22 Petr Beneš , Filip Blaschke

In this note we research the Abelian Higgs model subject to the Born-Infeld theory of electrodynamics for which the BPS equations can be reduced into a quasi-linear differential equation. We show that the equation exists a unique solution…

Mathematical Physics · Physics 2023-07-14 Lei Cao , Xiao Chen

The spectrum of $(p,q)$ bound states of F- and D-strings has a distinctive square-root tension formula that is hoped to be a hallmark of fundamental cosmic strings. We point out that the Bogomol'nyi-Prasad-Sommerfield (BPS) bound for…

High Energy Physics - Theory · Physics 2008-11-26 Mark G. Jackson

We explore the properties of non-BPS multi-centre extremal black holes in ungauged N=2 supergravity coupled to n_v vector multiplets, as described by solutions to the composite non-BPS linear system. After setting up an explicit description…

High Energy Physics - Theory · Physics 2015-06-17 Guillaume Bossard , Stefanos Katmadas

We investigate the presence of vortex solutions in potentials without vacuum state. The study is conducted considering Maxwell and Chern-Simons dynamics. Also, we use a first order formalism that helps us to find the solutions and their…

High Energy Physics - Theory · Physics 2019-06-14 M. A. Marques

Maxwell-Bloch system describing the resonant propagation of electromagnetic pulses in both two-level media with degeneracy in angle moment projection and three-level media with equal oscillator forces is considered. The inhomogeneous…

Quantum Physics · Physics 2007-05-23 S. B. Leble , N. V. Ustinov

We derive Bogomolny-type equations for the Abelian Higgs model defined on the noncommutative torus and discuss its vortex like solutions. To this end, we carefully analyze how periodic boundary conditions have to be handled in…

High Energy Physics - Theory · Physics 2009-11-11 P. Forgacs , G. S. Lozano , E. F. Moreno , F. A. Schaposnik

We present a detailed description of N=2 stationary BPS multicenter black hole solutions for quadratic prepotentials with an arbitrary number of centers and scalar fields making a systematic use of the algebraic properties of the matrix of…

High Energy Physics - Theory · Physics 2015-06-17 J. J. Fernandez-Melgarejo , E. Torrente-Lujan

The well-known Bogomol'nyi-Prasad-Sommerfield (BPS) monopole is considered in the limit of the infinite mass of the Higgs field as a basis of the Yang-Mills field vacuum with the finite energy density. In this limit, the Higgs field…

High Energy Physics - Theory · Physics 2007-05-23 L. D. Lantsman , V. N. Pervushin

We explore the BPS limit of asymptotically flat black hole thermodynamics, drawing analogies with recent studies of black holes in anti-de Sitter space. Although ultimately motivated by supersymmetry and quantum gravity, the BPS limit is…

High Energy Physics - Theory · Physics 2022-10-19 Kiril Hristov

We study 1/4 Bogomol'nyi-Prasad-Sommerfield (BPS) composite solitons of vortex strings, domain walls and boojums in ${\cal N}=2$ supersymmetric Abelian gauge theories in four dimensions. We obtain solutions to the 1/4 BPS equations with the…

High Energy Physics - Theory · Physics 2019-12-06 Masato Arai , Filip Blaschke , Minoru Eto

Two families of SO(2n) Higgs models in $2n$ dimensional spacetime are presented. One family arises from the {\it dimensional reduction} of higher dimensional Yang-Mills systems while the construction of the other one is {\it ad hoc}, the…

High Energy Physics - Theory · Physics 2009-11-11 Eugen Radu , D. H. Tchrakian

A non-relativistic version of the 2+1 dimensional gauged Chern-Simons O(3) sigma model, augmented by a Maxwell term, is presented and shown to support topologically stable static self-dual vortices. Exactly like their counterparts of the…

High Energy Physics - Theory · Physics 2014-11-18 D. H. Tchrakian , T. N. Tomaras
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