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**Nota de Física****Publicado**

# **Signature of paraparticles: a minimal Gedankenexperiment**

29/04/2026

[**Descargar PDF **1,9 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbdb2b/pdf) [**Contactar al responsable**](mailto:apub@cbpf.br?subject=Signature%20of%20paraparticles%3A%20a%20minimal%20Gedankenexperiment)

## **Datos de la publicación**

<dl>

<dt>Autores</dt>
<dd>—</dd>

<dt>Tipo</dt>
<dd>Nota de Física</dd>

<dt>Estado</dt>
<dd>Publicado</dd>

<dt>Fecha de publicación</dt>
<dd>29/04/2026</dd>

<dt>Descripción</dt>
<dd>Paraparticles beyond bosons and fermions can be exchanged via either the braid group (anyons, existing up to $D=2$ space dimensions) or the permutation group; in the latter case the space dimensions are not limited. Besides being predicted, anyons have been experimentally detected. The situation differs for paraparticles exchanged via the permutation group (``permutation-group parastatistics").\par The first test to detect their theoretical signature was published in 2021 (for \zzg parafermions; it was soon followed by a second paper proving the detectability of \zzg parabosons). Later on, two further papers proved theoretical signatures of permutation-group parastatistics. These works demonstrate that, in certain situations, a long-held belief on the ``conventionality of parastatistics" argument can be evaded: some measurements of permutation-group paraparticles cannot be recovered from ordinary bosons/fermions.\par The main question now is how to experimentally detect or engineer in the laboratory such paraparticles. For this aim a minimal setup for the theoretical test is here provided: a Gedankenexperiment (a simplified version of the two tests published in 2021) which, essentially, is a {\it flow chart} of logical operations. The key point is to present, to experimentalists, the necessary steps to be simulated/realized in the laboratory (possibly, by manipulating qudits).\par In this minimal setup, the detection/engineering of paraparticles is mapped into a {\it chirality test}. The mathematical setting is based on \zzg color Lie (super)algebras and derived mathematical structures.</dd>

<dt>Año</dt>
<dd>2026</dd>

<dt>Número</dt>
<dd>CBPF-NF-001/26</dd>

<dt>Vínculo con tesis</dt>
<dd>No</dd>

<dt>Vínculo con beca</dt>
<dd>No</dd>

</dl>

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