Pseudoclassical model for topologically massive gauge fields

TL;DR

This paper introduces a pseudoclassical model for topologically massive U(1) gauge fields that uncovers hidden symmetries and a phenomenon called classical quantization, linking classical and quantum properties in a P,T-invariant system.

Contribution

It presents a novel pseudoclassical framework revealing hidden symmetries and a non-standard super-extension of the Poincare group in topologically massive gauge fields.

Findings

Identifies SU(1,1) and S(2,1) as hidden symmetries

Demonstrates classical quantization phenomenon

Realizes an irreducible super-representation of the (2+1)D Poincare group

Abstract

A pseudoclassical model for P,T-invariant system of topologically massive U(1) gauge fields is analyzed. The model demonstrates a nontrivial relationship between continuous and discrete symmetries and reveals a phenomenon of ``classical quantization''. It allows one to identify SU(1,1) symmetry and S(2,1) supersymmetry as hidden symmetries of the corresponding quantum system. We show this P,T-invariant quantum system realizes an irreducible representation of a non-standard super-extension of the (2+1)-dimensional Poincare group.