Hausdorff dimension, fractional spin particles and Chern-Simons effective potential

Abstract

We 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 pages