The “Laughlin” picture of the Fractional Quantum Hall effect can be derived using the “exotic” model based on the two-fold centrally-extended planar Galilei group. When coupled to a planar magnetic field of critical strength determined by the extension parameters, the system becomes singular, and “Faddeev-Jackiw” reduction yields the “Chern-Simons” mechanics of Dunne, Jackiw, and Trugenberger. ...

It has been known for over twenty years that the Coulomb solution in Maxwellian electro/magneto-statics for a point charge at the origin in 3-space is unstable when embedded in a non-abelian gauge theory with large coupling constant. A version of this phenomenon was first seen by Mandula [Ma] and other manifestations of it were described in some detail by Sikivie and Weiss [SW1]-[SW3], Jackiw, ...

Quantum Mechanics in the non-commutative plane is shown to admit the “exotic” symmetry of the doubly-centrally-extended Galilei group. When coupled to a planar magnetic field whose strength is the inverse of the non-commutative parameter, the system becomes singular, and “Faddeev-Jackiw” reduction yields the “Chern-Simons” mechanics of Dunne, Jackiw, and Trugenberger. The reduced system moves a...

Abstract We construct an M -solitons solutions in Jackiw-Pi model depends on 5M parameters(two positions, one scale, one phase per solition and one charge of each solution). By using φ -mapping method, we discuss the topological structure of the self-duality solution in Jackiw-Pi model in terms of gauge potential decomposition. We set up relationship between Chern-Simons vortices solution and t...

We descry and discuss a duality in 2-dimensional dilaton gravity. e-mail: [email protected] e-mail: [email protected]

We obtain a class of exact solutions representing null particles moving in three-dimensional (anti-) de Sitter spaces by boosting the corresponding static point source solutions given by Deser and Jackiw. In de Sitter space the resulting solution describes two null particles moving on the (circular) cosmological horizon, while in anti-de Sitter space it describes a single null particle propagat...