8 papers
Anyon Condensation In Symmetry-Enriched Topological Phases: -Grading of Multifusion Categories
Nianrui Fu, Siyuan Wang, Yu Zhao +1
Although anyon condensation is a standard mechanism for relating topological orders, anyon condensation in symmetry-enriched topological (SET) phases is more intricate because the…
Non-Abelian Particle-Loop, Fracton, and Planon Condensation in Cage-Net Models
Yifei Wang, Yu Zhao, Yingcheng Li +2
We present a framework for non-Abelian p-loop, fracton, and planon condensation in 3+1 dimensions by constructing extended cage-net fracton models using decoupled layers of the Hu-…
Nonlinear Symmetry-Fragmentation of Nonabelian Anyons In Symmetry-Enriched Topological Phases: A String-Net Model Realization
Nianrui Fu, Siyuan Wang, Yu Zhao +1
Symmetry-enriched topological (SET) phases combine intrinsic topological order with global symmetries, giving rise to novel symmetry phenomena. While SET phases with Abelian anyons…
Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization
Nianrui Fu, Yu Zhao, Yidun Wan
We present a systematic framework for constructing exactly-solvable lattice models of symmetry-enriched topological (SET) phases based on an enlarged version of the string-net mode…
A 2D-CFT Factory: Critical Lattice Models from Competing Anyon Condensation Processes in SymTO/SymTFT
Ling-Yan Hung, Kaixin Ji, Ce Shen +2
In this paper, we introduce a ``CFT factory'' : a novel algorithm of methodically generating 2D lattice models that would flow to 2D conformal fixed points in the infrared. These 2…
Landau-Ginzburg Paradigm of Topological Phases
Yu Zhao, Yidun Wan
Topologically ordered matter phases have been regarded as beyond the Landau-Ginzburg symmetry breaking paradigm of matter phases. Recent studies of anyon condensation in topologica…