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March 13, 2026Journal of High Energy PhysicsOpen Access

Nonlinear symmetry-fragmentation of nonabelian anyons in symmetry-enriched topological phases: a string-net model realization

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Authors

NFNianrui FuSWS. WangYZYu Zhao

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Overview

This work uncovers nonlinear symmetry fragmentation in nonabelian anyons, suggesting novel implications for topological quantum computation.

Key Points

  • The research aims to explore how internal gauge spaces of nonabelian anyons transform under global symmetries using a string-net model.
  • Utilized a multifusion Hu-Geer-Wu string-net model to analyze nonabelian anyons.
  • Examined the transformation of internal gauge spaces under global symmetries.
  • Identified structures associated with symmetry-invariant and symmetry-permuted anyons.
  • Discovered global symmetry fragmentation (GSF) for symmetry-invariant anyons with fractional symmetry charges.
  • Clarified hybridization and fragmentation of internal spaces for symmetry-permuted anyons.
  • Established nonlinear global symmetry fragmentation as a significant feature of symmetry-enriched topological phases.

Cite This Study

Fu et al. (2026) studied this question.

synapsesocial.com/papers/69b3acd302a1e69014cced58https://doi.org/10.1007/jhep03(2026)091
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