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We have constructed numerically non-Abelian vortices in an SU(2) Chern-Simons-Higgs theory with a quartic Higgs potential. We have analyzed these solutions in detail by means of improved numerical codes and found some unexpected features we…

High Energy Physics - Theory · Physics 2017-10-04 J. L. Blazquez-Salcedo , L. M. Gonzalez-Romero , F. Navarro-Lerida , D. H. Tchrakian

The existence of vortex condensates in the self-dual Maxwell-Chern-Simons-Higgs System on a flat torus is proved by the super-sub solution method under the assumption that the total vortex number in a given periodic domain is not too large.…

Superconductivity · Physics 2016-08-31 Dongho Chae , Namkwon Kim

We investigate probe limit vortex solutions of a charged scalar field in Einstein-Maxwell theory in 3+1 dimensions, for an asymptotically AdS Schwarzschild black hole metric with the addition of an axionic coupling to the Maxwell field. We…

High Energy Physics - Theory · Physics 2011-01-05 Gianni Tallarita , Steven Thomas

We consider an elliptic system arising from a supersymmetric gauge field theory. In this paper, we complete to classify all possible solutions according to their asymptotic behavior under a weak coupling effect. Interestingly, it turns out…

Analysis of PDEs · Mathematics 2020-04-14 Youngae Lee

In this article we show that the new BPS equations for vortices, with nonzero diagonal components of the stress tensor, obtained in \cite{Atmaja:2015lia} for the generalized Maxwell-Higgs model can also be derived using the BPS Lagrangian…

High Energy Physics - Theory · Physics 2019-07-31 Ardian Nata Atmaja

Exact finite-energy solutions to the nonlinear governing equations of the Born-Infeld theory of electrodynamics, describing continuous distributions of electric, magnetic, and dyonic charge sources, in both classical and generalized…

High Energy Physics - Theory · Physics 2024-12-10 Yisong Yang

We study the self-dual Chern-Simons Higgs theory on an asymptotically flat cylinder. A topological multivortex solution is constructed and the fast decaying property of solutions is proved

Mathematical Physics · Physics 2007-05-23 Seongtag Kim

A new class of vortex solutions is found in SU(2) gauge theories with two adjoint representation Higgs bosons. Implications of these new solutions and their possible connection with Center Gauge fixed pure gauge theories are discussed.

High Energy Physics - Lattice · Physics 2016-09-01 Peter Suranyi

In (2+1) dimensions, the Maxwell term $-(1/4) F_{\alpha\beta}F^{\alpha\beta}$ can be replaced by the Chern-Simons three-form $(\kappa/4)\epsilon^{\alpha\beta\gamma}A_\alpha F_{\beta\gamma}$, yielding a novel type of `electromagnetism'. This…

High Energy Physics - Theory · Physics 2011-04-15 C. Duval , P. A. Horvathy

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 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 study the thermodynamics associated to topological black hole solutions of AdS gravity coupled to nonlinear electrodynamics (Born-Infeld) in any dimension, using a background-independent regularization prescription for the Euclidean…

High Energy Physics - Theory · Physics 2008-11-26 Olivera Miskovic , Rodrigo Olea

We numerically construct a family of stationary, axisymmetric black hole solutions in Einstein-Born-Infeld theory, incorporating both electric charge and rotation. Our results indicate that when nonlinear electromagnetic effects are weak,…

General Relativity and Quantum Cosmology · Physics 2025-07-02 Lang Cheng , Peng Wang

We derive several new Bogomol'nyi (self-dual) equations in two-species $U(1)\times U(1)$ gauge theories governed by the Born--Infeld nonlinear electrodynamics. By identifying appropriate Born--Infeld type Higgs potentials, we show that the…

High Energy Physics - Theory · Physics 2026-01-16 Aonan Xu , Yisong Yang

We have constructed nonrelativistic fermion and scalar field theories coupled to a Maxwell-Chern-Simons gauge field which admit static multi-vortex solutions. This is achieved by introducing a magnetic coupling term in addition to the usual…

High Energy Physics - Theory · Physics 2009-10-31 Bom Soo Kim , Hyuk-jae Lee , Jae Hyung Yee

In this work we propose a parity-invariant Maxwell-Chern-Simons $U(1) \times U(1)$ model coupled with two charged scalar fields in $2+1$ dimensions, and show that it admits finite-energy topological vortices. We describe the main features…

High Energy Physics - Theory · Physics 2024-01-29 W. B. De Lima , P. De Fabritiis

The Chern-Simons theories on a noncommutative plane, which is shown to be describing the quantum Hall liquid, is considered. We introduce matter fields fundamentally coupled to the noncommutative Chern-Simons field. Exploiting BPS equations…

High Energy Physics - Theory · Physics 2019-08-17 Dongsu Bak , Sung Ku Kim , Kwang-Sup Soh , Jae Hyung Yee

We consider the non-relativistic Chern-Simons equations proposed by Zhang, Hansen and Kivelson as the mean field theory of the fractional Hall effect. We prove the existence of the vortex lattice solutions (i.e. solution with lattice…

Mathematical Physics · Physics 2019-10-23 Krishan Rajaratnam , Israel Michael Sigal

A classification of all periodic self-dual static vortex solutions of the Jackiw-Pi model is given. Physically acceptable solutions of the Liouville equation are related to a class of functions which we term Omega-quasi-elliptic. This class…

High Energy Physics - Theory · Physics 2011-08-24 Nikolas Akerblom , Gunther Cornelissen , Gerben Stavenga , Jan-Willem van Holten

It is generally accepted that vortex core is charged, what illustrates that even in stationary superconductors electric field may be present. Vortex structure and other properties of superconductors are usually calculated in the framework…

Superconductivity · Physics 2009-11-07 Jan Kolacek , Pavel Lipavsky
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