# Chern-Simons vortices

@article{Duval2003ChernSimonsV, title={Chern-Simons vortices}, author={Christian Duval and P. A. Horvathy}, journal={arXiv: High Energy Physics - Theory}, year={2003} }

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 has been proposed for studying the Quantum Hall Effect as well as High-Temperature Superconductivity. The gauge field can be coupled to a scalar field either relativistically or non-relativistically. In both cases, one admits finite-energy, vortex solutions.

## 8 Citations

### Superconformal Chern-Simons theories

- Mathematics, Physics
- 2004

A Lagrangian description of a maximally supersymmetric conformal field theory in three dimensions was constructed recently by Bagger and Lambert (BL). The BL theory has SO(4) gauge symmetry and…

### Existence of mixed type solutions in the SU(3) Chern–Simons theory in $$\mathbb {R}^2$$R2

- Mathematics
- 2017

In this article, we are concerned with the SU(3) Chern–Simons theory in $$\mathbb {R}^2$$R2. It is believed that the self-dual equations of the theory possess three types of solutions, classified…

### Exotic Galilean symmetry and non-commutative mechanics in mathematical and in condensed matter physics

- Physics
- 2006

The ``exotic'' particle model with non-commuting position coordinates, associated with the two-parameter central extension of the planar Galilei group, can be used to derive the ground states of the…

### Exotic Galilean Symmetry, Non-commutativity & the Hall Effect

- Physics
- 2005

The ``exotic'' particle model associated with the two-parameter central extension of the planar Galilei group can be used to derive the ground states of the Fractional Quantum Hall Effect. Similar…

### Etude de solitons en th´eorie classique des champs de basse dimension

- Physics
- 1998

Cette these porte sur l'analyse de certains modeles de chern-simons en dimension 2 + 1. Partie 1 : par le test de painleve, nous determinons des conditions suffisantes d'integrabilite pour le modele…

### CERTAIN WEIGHTED MEAN INEQUALITY

- Mathematics
- 2014

In this paper, we report a new sharp inequality of interpolation type in R n . This inequality is for controlling weighted average of a function via L n norm of the gradient of a function together…

### Existence of mixed type solutions in the SU(3) Chern–Simons theory in R 2

- Mathematics
- 2017

In this article, we are concerned with the SU(3) Chern–Simons theory in R 2 . It is believed that the self-dual equations of the theory possess three types of solutions, classiﬁed according to their…

## References

SHOWING 1-10 OF 14 REFERENCES

### Self-dual Chern-Simons solitons.

- PhysicsPhysical review. D, Particles and fields
- 1990

These lectures are devoted to the two-year old topic of Chern-Simons solitons, combining the two subjects.

### The Quantum Hall Effect

- Physics
- 1988

The integral quantum Hall effect was discovered in 1980 by Klaus von Klitzing, Michael Pepper, and Gerhardt Dordda. Truly remarkably, at low temperatures (~ 4 K), the Hall resistance of a two…

### Phys. Rev. D42

- Phys. Rev. D42
- 1990

### ) ; J . Fröhlich and U . Studer

- Phys . Rev . Lett .
- 1989

### Phys. Rev. Lett. Phys. Rev. Lett

- Phys. Rev. Lett. Phys. Rev. Lett
- 1986

### Pitaevski, Statistical Physics, Landau-Lifshitz

- Course of Theoretical Physics,
- 1995

### Phys. Rev. D52 Ann. Phys. (N. Y

- Phys. Rev. D52 Ann. Phys. (N. Y
- 1995

### Statistical Physics, Landau-Lifshitz Course of Theoretical Physics

- Statistical Physics, Landau-Lifshitz Course of Theoretical Physics
- 1995