P,T-INVARIANT SYSTEM OF CHERN-SIMONS FIELDS - PSEUDOCLASSICAL MODEL AND HIDDEN SYMMETRIES

We investigate hidden symmetries of a P,T-invariant system of topologi cally massive U(1) gauge fields. For this purpose we propose a pseudoc lassical model giving rise to this field system at the quantum level. The model contains a parameter which displays a quantization property at the classical and the quantum levels and demonstrates a non-trivial relationship between continuous and discrete symmetries. Analyzing th e integrals of motion of the pseudoclassical model, we identify the U( 1,1) symmetry and the S(2,1) supersymmetry as hidden symmetries of the corresponding quantum system. Representing the hidden symmetries in a covariant form, we show that one-particle states realize an irreducib le representation of a non-standard super-extension of the (2 + 1)-dim ensional Poincare group labelled by the zero eigenvalue of the supersp in. (C) 1998 Elsevier Science B.V.