Interaction via reduction and nonlinear superconformal symmetry

Details Interaction via reduction and nonlinear superconformal symmetry Interaction via reduction and nonlinear superconformal symmetry

2003-06-20

arxiv.org/abs/hep-th/0306210v3

Phys.Lett. B572 (2003) 202-209

Physics

High Energy Physics

High Energy Physics - Theory

12 pages; typos corrected

Scientific paper

We show that the reduction of a planar free spin-1/2 particle system by the constraint fixing its total angular momentum produces the one-dimensional Akulov-Pashnev-Fubini-Rabinovici superconformal mechanics model with the nontrivially coupled boson and fermion degrees of freedom. The modification of the constraint by including the particle's spin with the relative weight $n\in \N$, $n>1$, and subsequent application of the Dirac reduction procedure (`first quantize and then reduce') give rise to the anomaly free quantum system with the order $n$ nonlinear superconformal symmetry constructed recently in hep-th/0304257. We establish the origin of the quantum corrections to the integrals of motion generating the nonlinear superconformal algebra, and fix completely its form.

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