English

Geometric quantization of N=2, D=3 superanyon

High Energy Physics - Theory 2009-10-31 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9801148,
  title  = {Geometric quantization of N=2, D=3 superanyon},
  author = {I. V. Gorbunov and S. L. Lyakhovich},
  journal= {arXiv preprint arXiv:hep-th/9801148},
  year   = {2009}
}

Comments

10 pages, Latex

R2 v1 2026-07-22T16:08:49.931Z