Abstract
In a recent paper (Balbino-de Freitas-Rana-FT, arXiv:2309.00965) we proved that the supercharges of the supersymmetric quantum mechanics can be statistically transmuted and accommodated into a Z₂ⁿ-graded parastatistics. In this talk I derive the 6=1+2+3 transmuted spectrum-generating algebras (whose respective Z₂ⁿ gradings are n=0,1,2) of the N=2 Superconformal Quantum Mechanics. These spectrum-generating algebras allow to compute, in the corresponding multiparticle sectors of the de Alfaro-Fubini-Furlan deformed oscillator, the degeneracies of each energy level. The levels induced by the Z₂× Z₂-graded paraparticles cannot be reproduced by the ordinary bosons/fermions statistics. This implies the theoretical detectability of the Z₂× Z₂-graded parastatistics.