Designer non-Abelian fractons from topological layers

Abstract

We formulate a construction of type-I fracton models based on gauging planar subsystem symmetries of topologically ordered two dimensional layers that have been stacked in three ambient spatial dimensions. Via our construction, any defect of an Abelian symmetry group in a two dimensional symmetry-enriched topological order can be promoted into a fracton. This allows us to construct fracton models supporting chiral boundaries and fractons of noninteger quantum dimension. We also find a lineon model supporting non-Abelian surface fractons on its boundary.

15+5 pages, 5 figures

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Cited by in corpus (9)

• Long-range entanglement from measuring symmetry-protected topological phases
• Higher-Form Subsystem Symmetry Breaking: Subdimensional Criticality and Fracton Phase Transitions
• Fracton Self-Statistics
• Efficient Preparation of Solvable Anyons with Adaptive Quantum Circuits
• No Strings Attached: Boundaries and Defects in the Cubic Code
• Subsystem Symmetry Fractionalization and Foliated Field Theory
• Strong Hilbert space fragmentation and fractons from subsystem and higher-form symmetries
• String-Membrane-Nets from Higher-Form Gauging: An Alternate Route to $p$-String Condensation
• There and Back Again: A Gauging Nexus between Topological and Fracton Phases