Classification of Metaplectic Fusion Categories

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Eddy Ardonne
  • Peter E. Finch
  • Matthew Titsworth

Organisationseinheiten

Externe Organisationen

  • Stockholm University
  • University of Texas at Dallas
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Details

OriginalspracheEnglisch
Aufsatznummer2102
FachzeitschriftSymmetry
Jahrgang13
Ausgabenummer11
PublikationsstatusVeröffentlicht - 5 Nov. 2021

Abstract

In this paper, we study a family of fusion and modular systems realizing fusion categories Grothendieck equivalent to the representation category for \(so(2p+1)_2\). These categories describe non-abelian anyons dubbed `metaplectic anyons'. We obtain explicit expressions for all the \(F\)- and \(R\)-symbols. Based on these, we conjecture a classification for their monoidal equivalence classes from an analysis of their gauge invariants and define a function which gives us the number of classes.

ASJC Scopus Sachgebiete

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Classification of Metaplectic Fusion Categories. / Ardonne, Eddy; Finch, Peter E.; Titsworth, Matthew.
in: Symmetry, Jahrgang 13, Nr. 11, 2102, 05.11.2021.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Ardonne, E, Finch, PE & Titsworth, M 2021, 'Classification of Metaplectic Fusion Categories', Symmetry, Jg. 13, Nr. 11, 2102. https://doi.org/10.3390/sym13112102
Ardonne, E., Finch, P. E., & Titsworth, M. (2021). Classification of Metaplectic Fusion Categories. Symmetry, 13(11), Artikel 2102. https://doi.org/10.3390/sym13112102
Ardonne E, Finch PE, Titsworth M. Classification of Metaplectic Fusion Categories. Symmetry. 2021 Nov 5;13(11):2102. doi: 10.3390/sym13112102
Ardonne, Eddy ; Finch, Peter E. ; Titsworth, Matthew. / Classification of Metaplectic Fusion Categories. in: Symmetry. 2021 ; Jahrgang 13, Nr. 11.
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