Existence theorems for non-Abelian Chern-Simons-Higgs vortices with flavor
In this paper we establish the existence of vortex solutions for a Chern–Simons– Higgs model with gauge group SU(N) × U(1) and flavor SU(N), these symmetries ensuring the existence of genuine non-Abelian vortices through a color-flavor locking. Under a suitable ansatz we reduce the problem to a 2 ×...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2015 |
| País: | Argentina |
| Institución: | Universidad Nacional de La Plata |
| Repositorio: | SEDICI (UNLP) |
| Idioma: | inglés |
| OAI Identifier: | oai:sedici.unlp.edu.ar:10915/77549 |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/77549 |
| Access Level: | acceso abierto |
| Palabra clave: | Ciencias Exactas Chern-Simons-Higgs equations, BPS equations, topological solutions, doubly periodic solutions, existence theorems Física |
| Sumario: | In this paper we establish the existence of vortex solutions for a Chern–Simons– Higgs model with gauge group SU(N) × U(1) and flavor SU(N), these symmetries ensuring the existence of genuine non-Abelian vortices through a color-flavor locking. Under a suitable ansatz we reduce the problem to a 2 × 2 system of nonlinear ellip- tic equations with exponential terms. We study this system over the full plane and over a doubly periodic domain, respectively. For the planar case we use a variational argument to establish the existence result and derive the decay estimates of the solu- tions. Over the doubly periodic domain we show that the system admits at least two gauge-distinct solutions carrying the same physical energy by using a constrained mini- mization approach and the mountain-pass theorem. In both cases we get the quantized vortex magnetic fluxes and electric charges. |
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