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Related papers: BPS chiral vortices in a Maxwell-Higgs electrodyna…

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We introduce selfdual Maxwell-Higgs systems with uniform background electric charge density and show that the selfdual equations satisfied by topological vortices can be reduced to the original Bogomol'nyi equations without any background.…

High Energy Physics - Theory · Physics 2009-10-22 Ki-Myeong Lee

We extend the study of BPS equations in ${\cal N}=1/2$ super Yang-Mills theory to the case of models with gauge symmetry breaking. We first consider an Abelian gauge-Higgs supersymmetric Lagrangian in $d=4$ dimensional Euclidean space…

High Energy Physics - Theory · Physics 2009-11-10 L. G. Aldrovandi , D. H. Correa , F. A. Schaposnik , G. A. Silva

We present a self-dual parity-invariant $U(1) \times U(1)$ Maxwell-Chern-Simons scalar $\text{QED}_3$. We show that the energy functional admits a Bogomol'nyi-type lower bound, whose saturation gives rise to first order self-duality…

High Energy Physics - Theory · Physics 2022-07-28 W. B. De Lima , P. De Fabritiis

We study 3d $\mathcal{N}=2$ $U(1)$ Chern-Simons-matter QFT on a cylinder $C\times\mathbb{R}$. The topology of $C$ gives rise to BPS sectors of low-energy solitons known as kinky vortices, which interpolate between (possibly) different vacua…

High Energy Physics - Theory · Physics 2024-07-12 Kunal Gupta , Pietro Longhi

We study existence and various behaviors of topological multivortices solutions of the relativistic self-dual Maxwell-Chern-Simons-Higgs system. We first prove existence of general topological solutions by applying variational methods to…

Superconductivity · Physics 2007-05-23 Dongho Chae , Namkwon Kim

We introduced a generalized Maxwell-Higgs model in a $(3+1)$ isotropic spacetime, and we found their stationary solutions using the BPS approach in curved spacetime. In order to investigate the compact-like vortices, we assume a particular…

General Relativity and Quantum Cosmology · Physics 2021-11-17 F. C. E. Lima , C. A. S. Almeida

There has been some recent interest in the study of non-abelian BPS monopoles in the limit of large magnetic charge. Most investigations have used a magnetic bag approximation, in which spherical symmetry is assumed within an abelian…

High Energy Physics - Theory · Physics 2013-08-20 Paul Sutcliffe

We study self-dual multi-vortex solutions of Chern-Simons Higgs theory in a background curved spacetime. The existence and decaying property of a solution are demonstrated.

Mathematical Physics · Physics 2009-10-31 Seongtag Kim , Yoonbai Kim

In this work we study magnetic vortices on the hyperbolic plane for a Chern-Simons-Schr\"odinger system introduced by Manton. The model can be thought of as the Schr\"odinger analogue of the Abalian-Higgs model. It consists of a system of…

Analysis of PDEs · Mathematics 2025-09-09 Oussama Landoulsi , Sohrab Shahshahani

We study a $U(1) \times U(1)$ gauge theory discussing its vortex solutions and supersymmetric extension. In our set-upon the dynamics of one of two Abelian gauge fields is governed by a Maxwell term, the other by a Chern-Simons term. The…

High Energy Physics - Theory · Physics 2016-12-21 Edwin Ireson , Fidel A. Schaposnik , Gianni Tallarita

In this paper the zero modes of fluctuation of cylindrically symmetric self-dual vortices are analyzed and described in full detail. These BPS topological defects arise at the critical point between Type II and Type I superconductors, or,…

High Energy Physics - Theory · Physics 2016-06-01 Alberto Alonso-Izquierdo , Wifredo Garcia Fuertes , Juan Mateos Guilarte

We consider a class of spontaneously broken $SU(2)$ gauge theories with adjoint scalar and look for exact magnetic monopole solutions in the Bogomol'nyi-Prasad-Sommerfield (BPS) limit. We find that some of the resulting solutions exhibit a…

High Energy Physics - Theory · Physics 2026-03-05 Petr Beneš , Filip Blaschke

Strings in $\mathcal{N}=2$ supersymmetric ${\rm U}(1)^N$ gauge theories with $N$ hypermultiplets are studied in the generic setting of an arbitrary Fayet-Iliopoulos triplet of parameters for each gauge group and an invertible charge matrix.…

High Energy Physics - Theory · Physics 2021-03-11 Sven Bjarke Gudnason , Minoru Eto , Muneto Nitta

In a recent paper, we studied the scalar fields of the five dimensional N=2 hypermultiplets using the method of symplectic covariance. For static spherically symmetric backgrounds, we showed that exactly two possibilities exist and detailed…

High Energy Physics - Theory · Physics 2013-05-20 Moataz H. Emam

We extend product Chern-Simons theory to develop several mixed $U(1)\times U(1)$ models where one gauge field is governed by a Chern-Simons term and the other by a Maxwell or Born-Infeld term. We show that, by choosing suitable potentials,…

High Energy Physics - Theory · Physics 2026-05-12 Aonan Xu

A generalization of the Chern-Simons-CP(1) model is considered by introducing a nonstandard kinetic term. For a particular case, of this nonstandard kinetic term, we show that the model support self-dual Bogomolnyi equations. The BPS energy…

High Energy Physics - Theory · Physics 2014-07-28 Rodolfo Casana , Lucas Sourrouille

Based on the gauge potential decomposition theory and the $\phi $-mapping theory, the topological inner structure of the Chern-Simons-Higgs vortex has been showed in detail. The evolution of CSH vortices is studied from the topological…

High Energy Physics - Theory · Physics 2009-11-07 Li-Bin Fu , Yi-Shi Duan , Hong Zhang

We consider a generalization of the abelian Higgs model with a Chern-Simons term by modifying two terms of the usual Lagrangian. We multiply a dielectric function with the Maxwell kinetic energy term and incorporate nonminimal interaction…

High Energy Physics - Theory · Physics 2009-10-22 Pijush K. Ghosh

We study BPS solitons in N=6 U(N) \times U(N) Chern-Simons-matter theory deformed by an F-term mass. The F-term mass generically breaks N=6 supersymmetry down to N=2. At vacua, M2-branes are polarized into a fuzzy S^3 forming a spherical…

High Energy Physics - Theory · Physics 2009-03-27 Masato Arai , Claus Montonen , Shin Sasaki

We investigate the vortex-type BPS equations in the ABJM theory without and with mass-deformation. We systematically classify the BPS equations in terms of the number of supersymmetry and the R-symmetries of the undeformed and mass-deformed…

High Energy Physics - Theory · Physics 2015-06-12 Gyungchoon Go , Chanju Kim , Yoonbai Kim , O-Kab Kwon , Hiroaki Nakajima