117 citations · 1k across the 20 of their papers we have counts for
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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…
Exactly Solvable Lattice Hamiltonians and Gravitational Anomalies
Yu-An Chen, Po-Shen Hsin
We construct infinitely many new exactly solvable local commuting projector lattice Hamiltonian models for general bosonic beyond group cohomology invertible topological phases of…
Classification of (2+1)D invertible fermionic topological phases with symmetry
Maissam Barkeshli, Yu-An Chen, Po-Shen Hsin +1
We provide a classification of invertible topological phases of interacting fermions with symmetry in two spatial dimensions for general fermionic symmetry groups and general…
Higher cup products on hypercubic lattices: application to lattice models of topological phases
Yu-An Chen, Sri Tata
In this paper, we derive the explicit formula for higher cup products on hypercubic lattices, based on the recently developed geometrical interpretation in the simplicial case. We…
Disentangling supercohomology symmetry-protected topological phases in three spatial dimensions
Yu-An Chen, Tyler D. Ellison, Nathanan Tantivasadakarn
We build exactly solvable lattice Hamiltonians for fermionic symmetry-protected topological (SPT) phases in (3+1)D classified by group supercohomology. A central benefit of our con…
Exact bosonization in arbitrary dimensions
Yu-An Chen
We extend the previous results of exact bosonization, mapping from fermionic operators to Pauli matrices, in 2d and 3d to arbitrary dimensions. This bosonization map gives a dualit…
Free and Interacting Short-Range Entangled Phases of Fermions: Beyond the Ten-Fold Way
Yu-An Chen, Anton Kapustin, Alex Turzillo +1
We extend the periodic table of phases of free fermions in the ten-fold way symmetry classes to a classification of free fermionic phases protected by an arbitrary on-site unitary…
Bosonization in three spatial dimensions and a 2-form gauge theory
Yu-An Chen, Anton Kapustin
We describe a 3d analog of the Jordan-Wigner transformation which maps an arbitrary fermionic system on a 3d spatial lattice to a 2-form gauge theory with an unusual…
Exact bosonization in two spatial dimensions and a new class of lattice gauge theories
Yu-An Chen, Anton Kapustin, Djordje Radicevic
We describe a 2d analog of the Jordan-Wigner transformation which maps an arbitrary fermionic system on a 2d lattice to a lattice gauge theory while preserving the locality of the…