A Higher-Spin Chern-Simons Theory of Anyons

Abstract

We propose Chern-Simons models of fractional-spin fields interacting with ordinary tensorial higher-spin fields and internal color gauge fields. For integer and half-integer values of the fractional spins, the model reduces to finite sets of fields modulo infinite-dimensional ideals. We present the model on-shell using Fock-space representations of the underlying deformed-oscillator algebra.

6 pages, based on talk given by M. V. at "Supersymmetries and Quantum Symmetries", Dubna, July 29 - August 3, 2013 with proceedings to appear in Physics of Particles and Nuclei