Geometric quantization of N=2, D=3 superanyon

Details Geometric quantization of N=2, D=3 superanyon Geometric quantization of N=2, D=3 superanyon

1998-01-22

arxiv.org/abs/hep-th/9801148v1

Phys.Lett. B423 (1998) 293-300

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Latex

Scientific paper

10.1016/S0370-2693(98)00100-2

A classical model of N=2, D=3 fractional spin superparticle (superanyon) is presented, whose first-quantization procedure combines the Berezin quantization for the superspin degrees of freedom and the canonical 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 procedure. The renormalized generators are found and the first quantised theory of N=2 superanyon is constructed.

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