TY - JOUR

T1 - Interaction via reduction and nonlinear superconformal symmetry

AU - Anabalon, Andres

AU - Plyushchay, Mikhail S.

N1 - Funding Information:
The work has been supported in part by the FONDECYT-Chile (grant 1010073).

PY - 2003/10/23

Y1 - 2003/10/23

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0842294850&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2003.08.030

DO - 10.1016/j.physletb.2003.08.030

M3 - Article

AN - SCOPUS:0842294850

SN - 0370-2693

VL - 572

SP - 202

EP - 209

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 3-4

ER -