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Related papers: Self-dual soliton solutions in a Chern-Simons-CP(1…

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We have shown the existence of self-dual solitons in a type of generalized Chern-Simons baby Skyrme model where the generalized function (depending only in the Skyrme field) is coupled to the sigma-model term. The consistent implementation…

High Energy Physics - Theory · Physics 2019-09-04 Rodolfo Casana , André C. Santos , Claudio F. Farias , Alexsandro L. Mota

We study the domain wall soliton solutions in the relativistic self-dual Maxwell Chern-Simons model in 1+1 dimensions obtained by the dimensional reduction of the 2+1 model. Both topological and nontopological self-dual solutions are found…

High Energy Physics - Theory · Physics 2009-10-31 Prasanta K. Tripathy

We study the Chern-Simons $CP(N)$ models with a global $U(1)$ symmetry and found the self-dual models among them. The Bogomolnyi-type bound in these self-dual models is a nontrivial generalization of that in the pure $CP(N)$ models. Our…

High Energy Physics - Theory · Physics 2009-10-30 Kyoungtae Kimm , Kimyeong Lee , Taejin Lee

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 consider a generalization of Jackiw-Pi model by introducing a nonstandard kinetic term. We present a Bogomolnyi framework for this theory and as a particular case we show that the Bogomolnyi equations of Chern-Simons Higgs theory can be…

High Energy Physics - Theory · Physics 2013-01-08 Lucas Sourrouille

We consider the (2+1)-dimensional gauged Heisenberg ferromagnet model coupled with the Chern-Simons gauge fields. Self-dual Chern-Simons solitons, the static zero energy solution saturating Bogomol'nyi bounds, are shown to exist when the…

High Energy Physics - Theory · Physics 2014-11-18 Phillial Oh , Q-Han Park

We investigate self-dual radially symmetric configurations in the $CP^1$ model coupled to a Maxwell and Chern-Simons (CS) gauge fields through nonminimal interactions. Starting from the nonlinear $O(3)$-sigma model, we explicitly construct…

High Energy Physics - Theory · Physics 2026-04-27 I. B. Cunha , F. C. E. Lima , Aldo Vera

We study a d=2+1 dimensional Chern-Simons gauge theory coupled to a Higgs scalar and an axion field, finding the form of the potential that allows the existence of selfdual equations and the corresponding Bogomolny bound for the energy of…

High Energy Physics - Theory · Physics 2008-11-26 J. Lopez-Sarrion , E. F. Moreno , F. A. Schaposnik , D. Slobinsky

We investigate the existence of vortex configurations in two gauged-$CP(2)$ models extended via the inclusion of magnetic impurities. In particular, we consider both the Maxwell-$CP(2)$ and the Chern-Simons-$CP(2)$ enlarged scenarios,…

High Energy Physics - Theory · Physics 2022-07-27 V. Almeida , R. Casana , E. da Hora , S. Krusch

We study a non-Abelian Chern-Simons gauge theory in $ 2+ 1$ dimensions with the inclusion of an anomalous magnetic interaction. For a particular relation between the Chern-Simons (CS) mass and the anomalous magnetic coupling the equations…

High Energy Physics - Theory · Physics 2009-10-28 Armando Antillón , Joaquín Escalona , Gabriel Germán , Manuel Torres

We construct exact soliton solutions to the Chern-Simons-Higgs system in noncommutative space, for non-relativistic and relativistic models. In both cases we find regular vortex-like solutions to the BPS equations which approach the…

High Energy Physics - Theory · Physics 2010-02-03 G. S. Lozano , E. F. Moreno , F. A. Schaposnik

We verify the existence of radially symmetric first-order solitons in a gauged $CP(2)$ scenario in which the dynamics of the Abelian gauge field is controlled by the Maxwell-Chern-Simons action. We implement the standard…

High Energy Physics - Theory · Physics 2019-11-05 R. Casana , N. H. Gonzalez-Gutierrez , E. da Hora

We find self-dual vortex solutions in a Maxwell-Chern-Simons model with anomalous magnetic moment. From a recently developed N=2-supersymmetric extension, we obtain the proper Bogomol'nyi equations together with a Higgs potential allowing…

High Energy Physics - Theory · Physics 2009-10-31 H. R. Christiansen , M. S. Cunha , J. A. Helayel-Neto , L. R. U. Manssur , A. L. M. A. Nogueira

We study domain wall solitons in the relativistic self-dual Chern-Simons Higgs systems by the dimensional reduction method to two dimensional spacetime. The Bogomolny bound on the energy is given by two conserved quantities in a similar way…

High Energy Physics - Theory · Physics 2016-08-24 Hsien-chung Kao , Kimyeong Lee , Taejin Lee

We embed the semilocal Chern-Simons-Higgs theory into an N=2 supersymmetric system. We construct the corresponding conserved supercharges and derive the Bogomol'nyi equations of the model from supersymmetry considerations. We show that…

High Energy Physics - Theory · Physics 2009-10-31 Jose D. Edelstein

We consider a nonrelativistic Chern-Simons theory of planar matter fields interacting with the Chern-Simons gauge field in a $SU(N)_{global} \times U(1)_{local}$ invariant fashion. We find that this model admits static zero-energy self-dual…

High Energy Physics - Theory · Physics 2009-10-28 Pijush K. Ghosh

We consider here a generalization of the Abelian Higgs model in curved space, by adding a Chern--Simons term. The static equations are self-dual provided we choose a suitable potential. The solutions give a self-dual Maxwell--Chern--Simons…

High Energy Physics - Theory · Physics 2009-10-22 Daniel Cangemi , Choonkyu Lee

We consider a $CP^N$ model with the subgroup $SU(r)$ completely gauged, where $1 < r < N+1$. The gauge field dynamics is solely governed by a nonabelian Chern-Simons term and the global $SU(N+1)$ symmetry is broken explicitly by introducing…

High Energy Physics - Theory · Physics 2009-10-30 Pijush K. Ghosh

Self-dual abelian Higgs system, involving both the Maxwell and Chern-Simons terms are obtained from Carroll-Field-Jackiw theory by dimensional reduction. Bogomol'nyi-type equations are studied from theoretical and numerical point of view.…

High Energy Physics - Theory · Physics 2013-09-30 Rodolfo Casana , Lucas Sourrouille

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
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