60 citations · 401 across the 19 of their papers we have counts for
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Fermionic defects of topological phases and logical gates
Ryohei Kobayashi
We discuss the codimension-1 defects of (2+1)D bosonic topological phases, where the defects can support fermionic degrees of freedom. We refer to such defects as fermionic defects…
Higher-group symmetry in finite gauge theory and stabilizer codes
Maissam Barkeshli, Yu-An Chen, Po-Shen Hsin +1
A large class of gapped phases of matter can be described by topological finite group gauge theories. In this paper we show how such gauge theories possess a higher-group global sy…
Codimension-2 defects and higher symmetries in (3+1)D topological phases
Maissam Barkeshli, Yu-An Chen, Sheng-Jie Huang +3
(3+1)D topological phases of matter can host a broad class of non-trivial topological defects of codimension-1, 2, and 3, of which the well-known point charges and flux loops are s…
Symmetry-preserving boundary of (2+1)D fractional quantum Hall states
Ryohei Kobayashi
We investigate symmetry-preserving gapped boundary of (2+1)D topological phases with global symmetry, which can be either bosonic or fermionic. We develop a general algebraic descr…