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High Energy Physics - Theory

arXiv:hep-th/0306210 (hep-th)
[Submitted on 20 Jun 2003 (v1), last revised 22 Sep 2003 (this version, v3)]

Title:Interaction via reduction and nonlinear superconformal symmetry

Authors:Andres Anabalon, Mikhail S. Plyushchay
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Abstract: 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.
Comments: 12 pages; typos corrected
Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI)
Cite as: arXiv:hep-th/0306210
  (or arXiv:hep-th/0306210v3 for this version)
  https://doi.org/10.48550/arXiv.hep-th/0306210
Journal reference: Phys.Lett. B572 (2003) 202-209
Related DOI: https://doi.org/10.1016/j.physletb.2003.08.030

Submission history

From: Mikhail Plyushchay [view email]
[v1] Fri, 20 Jun 2003 21:54:34 UTC (13 KB)
[v2] Thu, 26 Jun 2003 14:43:48 UTC (13 KB)
[v3] Mon, 22 Sep 2003 20:21:34 UTC (13 KB)
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