On the Geometry of Relativistic Anyon
High Energy Physics - Theory
2016-09-06 v3
Abstract
A twistor model is proposed for the free relativistic anyon. The Hamiltonian reduction of this model by the action of the spin generator leads to the minimal covariant model; whereas that by the action of spin and mass generators, to the anyon model with free phase space that is a cotangent bundle of the Lobachevsky plane with twisted symplectic structure. Quantum mechanics of that model is described by irreducible representations of the (2+1)-dimensional Poincare' group.
Keywords
Cite
@article{arxiv.hep-th/9704182,
title = {On the Geometry of Relativistic Anyon},
author = {A. Nersessian},
journal= {arXiv preprint arXiv:hep-th/9704182},
year = {2016}
}
Comments
8 pages, LaTeX