Classification of metaplectic modular categories

DOI10.1016/j.jalgebra.2016.08.001zbMath1345.18003arXiv1601.05460OpenAlexW2492622852MaRDI QIDQ308108

Eric C. Rowell, Meng Cheng, Eddy Ardonne, Zhenghan Wang

Publication date: 5 September 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.05460

zbMATH Keywords

modular categorygaugingmetaplectic categoryparticle-hole symmetry

Mathematics Subject Classification ID

Related Items (11)

Braid group representations from twisted tensor products of algebras ⋮ Auto-equivalences of the modular tensor categories of type \(A, B, C\) and \(G\) ⋮ Classification of Grothendieck rings of complex fusion categories of multiplicity one up to rank six ⋮ Modular categories of dimension $p^3m$ with $m$ square-free ⋮ Reconstruction of modular data from \(\mathrm{SL}_2(\mathbb{Z})\) representations ⋮ Metaplectic categories, gauging and property \(F\) ⋮ Prime decomposition of modular tensor categories of local modules of type D ⋮ Dimension as a quantum statistic and the classification of metaplectic categories ⋮ Integral metaplectic modular categories ⋮ In and around abelian anyon models ^* ⋮ From torus bundles to particle-hole equivariantization

Cites Work

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• A finiteness property for braided fusion categories
• Fusion categories and homotopy theory
• On gauging symmetry of modular categories
• On braided fusion categories. I
• Tensor categories with fusion rules of self-duality for finite abelian groups
• Braided tensor categories
• On metaplectic modular categories and their applications
• Rank-finiteness for modular categories
• Fermionic modular categories and the 16-fold way
• On Classification of Modular Categories by Rank: Table A.1
• Universal quantum computation with metaplectic anyons

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