## 29 Citations

### Matrix model for a quantum Hall droplet with manifest particle-hole symmetry

- Physics
- 2005

We find that a gauged matrix model of rectangular fermionic matrices (a matrix version of the fermion harmonic oscillator) realizes a quantum hall droplet with manifest particle-hole symmetry. The…

### Electromagnetic Excitations of Hall Systems on Four-Dimensional Space

- Physics
- 2011

The noncommutativity of a four-dimensional phase space is introduced from a purely symplectic point of view. We show that there is always a coordinate map to locally eliminate the gauge fluctuations…

### Symplectic fluctuations for electromagnetic excitations of Hall droplets

- Physics
- 2010

We show that the integer quantum Hall effect systems in a plane, sphere or disc can be formulated in terms of an algebraic unified scheme. This can be achieved by making use of a generalized…

### Electromagnetic Excitations of A_n Quantum Hall Droplets

- Physics
- 2010

The classical description of A_n internal degrees of freedom is given by making use of the Fock--Bargmann analytical realization. The symplectic deformation of phase space, including the internal…

### Quantum Hall Effect, Bosonization and Chiral Actions in Higher Dimensions

- Physics
- 2010

We give a brief review of the Quantum Hall effect in higher dimensions and its relation to fuzzy spaces. For a quantum Hall system, the lowest Landau level dynamics is given by a one-dimensional…

### Geometry of the quantum Hall effect: An effective action for all dimensions

- Physics
- 2016

We present a general formula for the topological part of the effective action for integer quantum Hall systems in higher dimensions, including fluctuations of the gauge field and metric around…

### Noncommutative scalar fields from symplectic deformation

- Mathematics
- 2008

This paper is concerned with the quantum theory of noncommutative scalar fields in two dimensional space-time. It is shown that the noncommutativity originates from the the deformation of symplectic…

## References

SHOWING 1-10 OF 58 REFERENCES

### Quantum Hall states as matrix Chern-Simons theory

- Physics
- 2001

We propose a finite Chern-Simons matrix model on the plane as an effective description of fractional quantum Hall fluids of finite extent. The quantization of the inverse filling fraction and of the…

### Quantum Hall states on the cylinder as unitary matrix Chern-Simons theory

- Physics
- 2001

We propose a unitary matrix Chern-Simons model representing fractional quantum Hall fluids of finite extent on the cylinder. A mapping between the states of the two systems is established. Standard…

### Collective excitations at the boundary of a four-dimensional quantum Hall droplet

- Physics
- 2001

In this work we investigate collective excitations at the boundary of a recently constructed four-dimensional (4D) quantum Hall state. Local bosonic operators for creating these collective…

### Matrix models of 4-dimensional quantum Hall fluids

- Physics
- 2002

We propose two non-abelian Chern-Simons matrix models as the effective descriptions of 4-dimensional quantum Hall fluids. One of them describes a new type of 4-dimensional quantum Hall fluid on the…

### Effective Field Theory Description of the Higher Dimensional Quantum Hall Liquid

- Physics
- 2002

We derive an effective topological field theory model of the four dimensional quantum Hall liquid state recently constructed by Zhang and Hu. Using a generalization of the flux attachment…