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On the relation between fractional charge and statistics
Stockholm Univ, Fysikum, Stockholm, Sweden.
Uppsala Univ, Dept Phys & Astron, Uppsala, Sweden.
KTH, School of Engineering Sciences (SCI), Physics, Condensed Matter Theory.ORCID iD: 0000-0001-7399-9618
2025 (English)In: SciPost Physics, E-ISSN 2542-4653, Vol. 18, no 6, article id 197Article in journal (Refereed) Published
Abstract [en]

We revisit an argument, originally given by Kivelson and Rocek, for why the existence of fractional charge necessarily implies fractional statistics. In doing so, we resolve a contradiction in the original argument, and in the case of a nu = 1/m Laughlin holes, we also show that the standard relation between fractional charge and statistics is necessary by an argument based on a t'Hooft anomaly in a one-form global Zm symmetry.

Place, publisher, year, edition, pages
Stichting SciPost , 2025. Vol. 18, no 6, article id 197
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:kth:diva-370527DOI: 10.21468/SciPostPhys.18.6.197ISI: 001513971300002Scopus ID: 2-s2.0-105008444241OAI: oai:DiVA.org:kth-370527DiVA, id: diva2:2007819
Note

QC 20251021

Available from: 2025-10-21 Created: 2025-10-21 Last updated: 2025-10-21Bibliographically approved

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Klein Kvorning, Thomas

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