101 citations · 499 across the 16 of their papers we have counts for
16 papers
Fractional quantum Hall effect on the two-sphere: a matrix model proposal
Bogdan Morariu, Alexios P. Polychronakos
We present a Chern-Simons matrix model describing the fractional quantum Hall effect on the two-sphere. We demonstrate the equivalence of our proposal to particular restrictions of…
Strings, Dipoles and Fuzzy Spheres
Bogdan Morariu
I discuss a scaling limit, where open strings in the WZW-model behave as dipoles with charges confined to a spherical brane and projected to the lowest Landau level. Then I show ho…
Quantum mechanics on noncommutative Riemann surfaces
Bogdan Morariu, Alexios P. Polychronakos
We study the quantum mechanics of a charged particle on a constant curvature noncommutative Riemann surface in the presence of a constant magnetic field. We formulate the problem b…
Poisson Chern-Simons Gauge Theory
Bogdan Morariu
We formulate Poisson Chern-Simons gauge theories on compact group manifolds. These describe a sector of the large representation limit of noncommutative Chern-Simons in the same wa…
Finite Noncommutative Chern-Simons with a Wilson Line and the Quantum Hall Effect
Bogdan Morariu, Alexios P. Polychronakos
We present a finite dimensional matrix model associated to the noncommutative Chern-Simons theory, obtained by inserting a Wilson line. For a specific choice of the representation…
Quantum Mechanics on the Noncommutative Torus
Bogdan Morariu, Alexios P. Polychronakos
We analyze the algebra of observables of a charged particle on a noncommutative torus in a constant magnetic field. We present a set of generators of this algebra which coincide wi…