# Quasi-hole solutions in finite noncommutative Maxwell-Chern-Simons theory

@article{Lambert2007QuasiholeSI, title={Quasi-hole solutions in finite noncommutative Maxwell-Chern-Simons theory}, author={Jules Lambert and M. B. Paranjape}, journal={Journal of High Energy Physics}, year={2007}, volume={2007}, pages={007-007} }

We study Maxwell-Chern-Simons theory in 2 noncommutative spatial dimensions and 1 temporal dimension. We consider a finite matrix model obtained by adding a linear boundary field which takes into account boundary fluctuations. The pure Chern-Simons has already been previously shown to be equivalent to the Laughlin description of the quantum Hall effect [6, 7]. With the addition of the Maxwell term, we find that there exists a rich spectrum of excitations including solitons [12] with nontrivial…

## 2 Citations

### Semiclassical Droplet States in Matrix Quantum Hall Effect

- Physics
- 2007

We derive semiclassical ground state solutions that correspond to the quantum Hall states earlier found in the Maxwell-Chern-Simons matrix theory. They realize the Jain composite-fermion construction…

### Matrix effective theories of the fractional quantum Hall effect

- Physics
- 2009

The present understanding of nonperturbative ground states in the fractional quantum Hall effect is based on effective theories of the Jain ‘composite fermion’ excitations. We review the approach…

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