GEOMETRIC-QUANTIZATION OF N=2,D=3 SUPERANYON

A classical model of N = 2,D = 3 fractional spin superparticle (supera nyon) is presented, whose first-quantization procedure combines the Be rezin quantization for the superspin degrees of freedom and the canoni cal quantization for the space-time ones. To provide the supersymmetry for the quantised theory, certain quantum corrections are required to the N = 2 supersymmetry generators as compared to the Berezin procedu re. The renormalized generators are found and the first quantised theo ry of N = 2 superanyon is constructed. (C) 1998 Elsevier Science B.V.