--- title: "Signature of paraparticles: a minimal Gedankenexperiment • CBPF Index" description: "CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community." canonical_url: "https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbdb2b" locale: en meta: "og:description": "CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community." "og:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_~U2lnbmF0dXJlIG9mIHBhcmFwYXJ0aWNsZXM6IGEgbWluaW1hbCBHZWRhbmtlbmV4cGVyaW1lbnQ%2Ctipo_Physics%2BNote%2Ccor_~I2E4MmMwMA%2Cdetalhe_~MjkvMDQvMjAyNg%2Csecao_Publications%2Cp_Ii9lbi9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmRiMmIi%2Cs_speS5gz3mFpgrhug.png" "og:image:height": "600" "og:image:type": image/png "og:image:width": "1200" "og:title": "Signature of paraparticles: a minimal Gedankenexperiment • CBPF Index" "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_~U2lnbmF0dXJlIG9mIHBhcmFwYXJ0aWNsZXM6IGEgbWluaW1hbCBHZWRhbmtlbmV4cGVyaW1lbnQ%2Ctipo_Physics%2BNote%2Ccor_~I2E4MmMwMA%2Cdetalhe_~MjkvMDQvMjAyNg%2Csecao_Publications%2Cp_Ii9lbi9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmRiMmIi%2Cs_speS5gz3mFpgrhug.png" --- > Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt) **Physics Note****Published** # **Signature of paraparticles: a minimal Gedankenexperiment** 04/29/2026 [**Download PDF **1.9 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbdb2b/pdf) [**Contact owner**](mailto:apub@cbpf.br?subject=Signature%20of%20paraparticles%3A%20a%20minimal%20Gedankenexperiment) ## **Publication details**
Authors
—
Type
Physics Note
Status
Published
Publication date
29/04/2026
Description
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.
Year
2026
Number
CBPF-NF-001/26
Linked to a thesis
No
Linked to a grant
No
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