On the detectability of paraparticles beyond bosons and fermions

In this paper, we present the state of the art concerning the theoretical detectability (and the open challenges for the experimental detectability) of a special class of paraparticles beyond bosons and fermions. The particles under consideration, obeying the parastatistics, are mutually exchanged via the permutation group and can exist in any space dimension (the anyons, which transform under the more general braid group, cannot exist in more than two space dimensions).