116 citations · 1.1k across the 95 of their papers we have counts for
95 papers
Signature of paraparticles: a minimal Gedankenexperiment
Francesco Toppan
Paraparticles beyond bosons and fermions can be exchanged via either the braid group (anyons, existing up to space dimensions) or the permutation group; in the latter case th…
On the detectability of paraparticles beyond bosons and fermions
Francesco Toppan
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 paraparticl…
New aspects of the Z Z-graded 1D superspace: induced strings and 2D relativistic models
N. Aizawa, R. Ito, Z. Kuznetsova +1
A novel feature of the -graded supersymmetry which finds no counterpart in ordinary supersymmetry is the presence of -graded exotic bosons (i…
First quantization of braided Majorana fermions
Francesco Toppan
A -graded qubit represents an even (bosonic) "vacuum state" and an odd, excited, Majorana fermion state. The multiparticle sectors of , braided, indistinguishable…
Beyond the -fold way: associative -graded superdivision algebras
Zhanna Kuznetsova, Francesco Toppan
The "-fold way" refers to the combined classification of the associative division algebras (of real, complex and quaternionic numbers) and of the , -grade…
Inequivalent quantizations from gradings and parabosons
Francesco Toppan
This paper introduces the parastatistics induced by -graded algebras. It accommodates four kinds of particles: ordinary bosons and three types of…