A matrix model for a quantum hall droplet with manifest particle-hole symmetry
High Energy Physics - Theory
2009-11-10 v2 Mesoscale and Nanoscale Physics
Abstract
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 CFT on it.
Keywords
Cite
@article{arxiv.hep-th/0409115,
title = {A matrix model for a quantum hall droplet with manifest particle-hole symmetry},
author = {David Berenstein},
journal= {arXiv preprint arXiv:hep-th/0409115},
year = {2009}
}
Comments
25 pages, uses JHEP format, young.sty (included). v2: Updated references, typos corrected