Anyonic symmetry fractionalization in symmetry enriched topological phases

José Garre Rubio; Yoshiko Ogata

doi:10.48550/arXiv.2411.01210

Anyonic symmetry fractionalization in symmetry enriched topological phases

José Garre Rubio (Corresponding author)
, Yoshiko Ogata

Department of Mathematics

Publications: Contribution to journal › Article › Peer Reviewed

Abstract

We study anyonic spin two-dimensional systems with a global symmetry hosting the so-called symmetry enriched topological phases. We introduce the phase corresponding to the symmetry fractionalization of the anyons using an operator algebra approach on the infinite plane. Our assumptions on how the global symmetry acts prevents anyon permutation effects.

Original language	English
Article number	031903
Journal	Journal of Mathematical Physics
Volume	67
DOIs	https://doi.org/10.48550/arXiv.2411.01210 https://doi.org/10.1063/5.0291274
Publication status	Published - 30 Mar 2026

Austrian Fields of Science 2012

101028 Mathematical modelling
103025 Quantum mechanics
103036 Theoretical physics

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10.48550/arXiv.2411.01210Licence: CC BY 4.0
10.1063/5.0291274Licence: Unspecified

1 Not started
1 Active

SEQUAM: Symmetries and Entanglement in Quantum Matter
Schuch, N. (Project Lead)
1/10/20 → 30/09/26
Project: Research funding
Generalized symmetries in quantum tensor networks
Garre Rubio, J. (Project Lead)
1/08/26 → 31/07/27
Project: Research funding

Cite this

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Anyonic symmetry fractionalization in symmetry enriched topological phases

Abstract

Austrian Fields of Science 2012

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Projects

SEQUAM: Symmetries and Entanglement in Quantum Matter

Generalized symmetries in quantum tensor networks

Cite this