On the detectability of paraparticles beyond bosons and fermions

Abstract

In this paper I 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 considerations, obeying a 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).

18 pages; based on the plenary talk given at the 33rd/35th International Colloquium on Group Theoretical Methods in Physics (ICGTMP, Group33/35), Cotonou (Benin), July 15-19, 2024. Final version with added references to appear in the Proceedings

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Cited by in corpus (2)

• An integrable hierarchy associated with loop extension of ${\mathbb{Z}}_2^2$-graded $\mathfrak{osp}(1|2)$
• Bosonization in $R$-paraparticle Luttinger models