Lucas Sourrouille

Charged Nielsen-Olesen vortices from a Generalized Abelian Chern-Simons-Higgs Theory

We consider a generalization of abelian Chern-Simons-Higgs model by introducing a nonstandard kinetic term. In particular we show that the Bogomolnyi equations of the abelian Higgs theory may be obtained, being its solutions Nielsen-Olesen vortices with electric charge. In addition we study the self-duality equations for a generalized non-relativistic Maxwell-Chern-Simons model.

( 1 + 1 ) -dimensional Galilean supersymmetry in ultracold quantum gases

We discuss a (1+1)-dimensional Galilean invariant model recently introduced in connection with ultracold quantum gases. After showing its relation to a nonrelativistic (2+1) Chern-Simons matter system, we identify the generators of the supersymmetry and its relation with the existence of self-dual equations.

Nonrelativistic supersymmetry in noncommutative space

Abstract We analyze a model of nonrelativistic matter in ( 2 + 1 ) -dimensional noncommutative space. The matter fields interact with gauge fields whose dynamics is dictated by a Chern–Simons term. We show that it is possible to choose the coupling constants in such a way that the model has and extended supersymmetry and Bogomolnyi equations can be found.

Self-Dual Soliton Solution in a Generalized Jackiw-Pi Model

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 obtained. Finally, the dimensionally reduced theory is analyzed and novel solitonic equations emerge.

A note on the existence of soliton solutions in the Chern-Simons-CP(1) model

We study a gauged Chern–Simons–CP(1) system. We show that contrary to previous claims, the model in the absence of a potential term cannot support finite size soliton solution in R2.

Note on vortices from Lorentz-violating models

AbstractWe consider two self-dual abelian Higgs systems obtained from Lorentz breakingsymmetry models by dimensional reduction. We show that one of these models sup-ports Nielsen-Olesen vortices with electric charge. In the second case we show thatself-dual Chern-Simons-Higgs vortices without electric charge are possible.Keywords:Chern-Simons-like gauge theory, Topological solitons, Lorentz symme-try violation.pacs: 11.10.Kk, 11.10.Lm, 11.27.+d, 12.60.i, 11.30.Cp 1 Introduction The possible violation of Lorentz invariance has recently recivied a lot of attention as acandidate for the Planck scale physics [1].The large range of existing phenomenologicaland experimental activities stems from the application of effective field theory[2] andthe construction of the Standard-Model Extension (SME)[3, 4] to catalogue and predictobservable effects. The gauge sector of the SME include CPT-even and CPT-oddterms. The CPT-odd, usully called the Carroll-Field-Jackiw term[5], consist on fourparameters, that engenders a parity-odd and birefringent electrodynamics, couple toChern-Simons dynamics. The CPT-even photon sector is composed by fourth-ranktensor, with Riemann tensor symmetries and a double null trace, which is couple to agauge term F

STABILITY ANALYSIS FOR SOLITON SOLUTIONS IN A GAUGED CP(1) THEORY

We analyze the stability of soliton solutions in a Chern-Simons-CP(1) model. We show a condition for which the soliton solutions are stable. Finally we verified this result numerically.

SINGULAR SOLITON SOLUTION IN THE CHERN SIMONS CP(1) MODEL

We show that the Chern–Simons–CP(1) model can support a singular soliton solution in which the magnetic field is a Dirac delta.

Self-Dual Configurations in a Generalized Abelian Chern-Simons-Higgs Model with Explicit Breaking of the Lorentz Covariance

We have studied the existence of self-dual solitonic solutions in a generalization of the Abelian Chern-Simons-Higgs model. Such a generalization introduces two different nonnegative functions,

Galilean symmetry in generalized Abelian Schrödinger–Higgs models with and without gauge field interaction

\omega_1(|\phi|)