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Related papers: Self-dual Maxwell-Chern-Simons solitons from a Lor…

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We generate from the static charged BTZ black hole a family of spinning charged solutions to the Einstein-Maxwell equations in 2+1 dimensions. These solutions go over, in a suitable limit, to self-dual spinning charged solutions, which are…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Gérard Clément

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

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 investigate the existence of first-order vortices inherent to both the Maxwell-Chern-Simons-Higgs and the Maxwell-Chern-Simons-$CP(2)$ models extended via the inclusion of an extra scalar sector which plays the role of a source field.…

High Energy Physics - Theory · Physics 2020-08-24 J. Andrade , Rodolfo Casana , E. da Hora

We propose an exactly solvable Grassmannian sigma-model coupled to the Chern-Simons theory. In the presence of a novel topological term our model admits exact self-dual vortex solutions which are identical to those of pure Grassmannian…

High Energy Physics - Theory · Physics 2016-09-06 Jin-Ho Cho , Phillial Oh , Jeong-Hyuck Park

We apply the coadjoint orbit method to construct relativistic nonlinear sigma models (NLSM) on the target space of coadjoint orbits coupled with the Chern-Simons (CS) gauge field and study self-dual solitons. When the target space is given…

High Energy Physics - Theory · Physics 2011-04-15 Phillial Oh

We have established a prescription for the calculation of analytical vortex solutions in the context of generalized Maxwell-Higgs models whose overall dynamics is controlled by two positive functions of the scalar field. We have also…

High Energy Physics - Theory · Physics 2014-07-10 R. Casana , M. M. Ferreira , E. da Hora , C. dos Santos

We perform the dimensional reduction of the nonrelativistic CP(1) model coupled to an Abelian Chern-Simons gauge field in the self-dual limit, and investigate the soliton and domain wall solutions of the emerging 1+1 dimensional self-dual…

High Energy Physics - Theory · Physics 2008-11-26 Sung-Soo Kim , Phillial Oh , Chaiho Rim

We prove the existence of at least two doubly periodic vortex solutions for a self-dual CP(1) Maxwell-Chern-Simons model. To this end we analyze a system of two elliptic equations with exponential nonlinearities. Such a system is shown to…

Analysis of PDEs · Mathematics 2007-05-23 Francesco Chiacchio , Tonia Ricciardi

It is shown the existence of a static self-dual semilocal vortex configuration for the Maxwell-Higgs system with a Lorentz-violating CPT-even term. The dependence of the vorticity upper limit on the Lorentz-break term is also investigated.

High Energy Physics - Theory · Physics 2014-02-05 C. H. Coronado Villalobos , J. M. Hoff da Silva , M. B. Hott , H. Belich

Some aspects of the multidimensional soliton geometry are considered. The relation between soliton equations in 2+1 dimensions and the Self-Dual Yang-Mills and Bogomolny equations are discussed.

Mathematical Physics · Physics 2012-04-15 Kur. Myrzakul , R. Myrzakulov

The Einstein-Maxwell equations with a negative cosmological constant in 2+1 spacetime dimensions discussed by Banados, Teitelboim and Zanelli are solved by assuming a self(anti-self)dual equation. The solution describes an electrically…

High Energy Physics - Theory · Physics 2009-10-28 Masaru Kamata , Takao Koikawa

Gauged linear sigma models with C^m-valued scalar fields and gauge group U(1)^d, d \leq m, have soliton solutions of Bogomol'nyi type if a suitably chosen potential for the scalar fields is also included in the Lagrangian. Here such models…

High Energy Physics - Theory · Physics 2009-10-30 B. J. Schroers

We establish an existence theorem for the doubly periodic vortices in a generalized self-dual Chern--Simons model. We show that there exists a critical value of the coupling parameter such that there exits self-dual doubly periodic vortex…

Mathematical Physics · Physics 2012-07-12 Xiaosen Han

We construct static and time-dependent exact soliton solutions with non-trivial Hopf topological charge for a field theory in 3+1 dimensions with the target space being the two dimensional sphere S**2. The model considered is a reduction of…

High Energy Physics - Theory · Physics 2010-04-08 L. A. Ferreira , A. C. Riserio do Bonfim

We discuss the $2+1$ dimensional Abelian Higgs model coupled to $N=2$ supergravity. We construct the supercharge algebra and, from it, we show that the mass of classical static solutions is bounded from below by the topological charge. As…

High Energy Physics - Theory · Physics 2009-10-28 Jose D. Edelstein , Carlos Núñez , Fidel A. Schaposnik

We study vortex solutions in Abelian Chern-Simons-Higgs theories with visible and hidden sectors. We first consider the case in which the two sectors are connected through a BF-like gauge mixing term with no explicit interaction between the…

High Energy Physics - Theory · Physics 2015-08-18 Paola Arias , Edwin Ireson , Fidel A. Schaposnik , Gianni Tallarita

We investigate the existence of BPS structures in a Maxwell-Higgs electrodynamics immersed within a chiral medium, whose electromagnetic properties are described by both the Chern-Simons term and a neutral scalar field. The implementation…

High Energy Physics - Theory · Physics 2024-02-29 J. Andrade , Rodolfo Casana , E. da Hora

Instantons, monopoles and vortices have become paradigms of topological structures in field theory and quantum mechanics, with important applications in particle physics, astrophysics, condensed matter physics and mathematics. We have…

High Energy Physics - Theory · Physics 2014-08-29 Sarmistha Kumar

We study three-dimensional Yang-Mills-Higgs theories with and without a Chern-Simons interaction. We find that these theories admit a rich spectrum of vortex solitons carrying both a topological charge and a global flavour charge. We…

High Energy Physics - Theory · Physics 2009-02-09 Benjamin Collie