Interaction via reduction and nonlinear superconformal symmetry

Andres Anabalon, Mikhail S. Plyushchay

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


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 ∈ 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 by Leiva and Plyushchay [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.

Original languageEnglish
Pages (from-to)202-209
Number of pages8
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number3-4
StatePublished - 23 Oct 2003
Externally publishedYes


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