2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/55353We obtain for any spin, $s$, the Hausdorff dimension, $h_{i}$, for fractional spin particles and we discuss the connection between this number, $h_{i}$, and the Chern-Simons potential. We also define the topological invariants, $W_s$, in terms of the statistics of these particles.latex, 4 pagesHigh Energy Physics - TheoryHigh Energy Physics - PhenomenologyHausdorff dimension, fractional spin particles and Chern-Simons effective potentialtext