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

Journal Article · Fri Apr 15 00:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.085001· OSTI ID:20709105

Berenstein, David ^[1]

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1. Department of Physics, UCSB, Santa Barbara, California 93106 (United States)

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.

• OSTI ID: 20709105
• Journal Information: Physical Review. D, Particles Fields, Vol. 71, Issue 8; Other Information: DOI: 10.1103/PhysRevD.71.085001; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFORMAL INVARIANCE
DROPLETS
FERMIONS
GAUGE INVARIANCE
HALL EFFECT
HAMILTONIANS
HARMONIC OSCILLATORS
HERMITIAN MATRIX
HOLES
POTENTIALS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
SYMMETRY
TOPOLOGY
TWO-BODY PROBLEM