A matrix model for a quantum hall droplet with manifest particle-hole symmetry

Details A matrix model for a quantum hall droplet with manifest particle-hole symmetry A matrix model for a quantum hall droplet with manifest particle-hole symmetry

2004-09-10

arxiv.org/abs/hep-th/0409115v2

Phys.Rev. D71 (2005) 085001

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, uses JHEP format, young.sty (included). v2: Updated references, typos corrected

Scientific paper

10.1103/PhysRevD.71.085001

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 droplet consists of free fermions on the topology of a sphere. It is also possible to deform the Hamiltonian by double trace operators, and we argue that this device can produce two body potentials which might lead the system to realize a fractional quantum hall state on the sphere. We also argue that a single gauged fermionic quantum mechanics of hermitian matrices realizes a droplet with an edge that has $c=1/2$ CFT on it.

Affiliated with

Also associated with

No associations

Rating

A matrix model for a quantum hall droplet with manifest particle-hole symmetry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A matrix model for a quantum hall droplet with manifest particle-hole symmetry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A matrix model for a quantum hall droplet with manifest particle-hole symmetry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-245554