Generalized symmetries in condensed matter
J McGreevy - Annual Review of Condensed Matter Physics, 2023 - annualreviews.org
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Fractional topological insulators: a pedagogical review
A Stern - Annual Review of Condensed Matter Physics, 2016 - annualreviews.org
Fractional topological insulators (FTIs) are electronic systems that carry fractionally charged
excitations, conserve charge, and are symmetric to reversal of time. In this review, we …
excitations, conserve charge, and are symmetric to reversal of time. In this review, we …
Classification and properties of symmetry-enriched topological phases: Chern-Simons approach with applications to spin liquids
YM Lu, A Vishwanath - Physical Review B, 2016 - APS
We study (2+ 1)-dimensional phases with topological order, such as fractional quantum Hall
states and gapped spin liquids, in the presence of global symmetries. Phases that share the …
states and gapped spin liquids, in the presence of global symmetries. Phases that share the …
Gapped domain walls, gapped boundaries, and topological degeneracy
Gapped domain walls, as topological line defects between (2+ 1) D topologically ordered
states, are examined. We provide simple criteria to determine the existence of gapped …
states, are examined. We provide simple criteria to determine the existence of gapped …
Symmetry-respecting topologically ordered surface phase of three-dimensional electron topological insulators
A three-dimensional electron topological insulator (ETI) is a phase of matter protected by
particle-number conservation and time-reversal symmetry. It was previously believed that …
particle-number conservation and time-reversal symmetry. It was previously believed that …
Generalizations and limitations of string-net models
We ask which topological phases can and can not be realized by exactly soluble string-net
models. We answer this question for the simplest class of topological phases, namely, those …
models. We answer this question for the simplest class of topological phases, namely, those …
Boundary states of three dimensional topological order and the deconfined quantum critical point
We study the boundary states of the archetypal three dimensional topological order, ie the
three dimensional $\mathbb {Z} _2 $ toric code. There are three distinct elementary types of …
three dimensional $\mathbb {Z} _2 $ toric code. There are three distinct elementary types of …
Relative anomaly in ()d rational conformal field theory
M Cheng, DJ Williamson - Physical Review Research, 2020 - APS
We study't Hooft anomalies of symmetry-enriched rational conformal field theories (RCFT) in
(1+ 1) d. Such anomalies determine whether a theory can be realized in a truly (1+ 1) d …
(1+ 1) d. Such anomalies determine whether a theory can be realized in a truly (1+ 1) d …
Nonperturbative regularization of ()-dimensional anomaly-free chiral fermions and bosons: On the equivalence of anomaly matching conditions and boundary …
A nonperturbative lattice regularization of chiral fermions and bosons with anomaly-free
chiral symmetry G in 1+ 1 D spacetime is proposed. More precisely, we ask “whether there is …
chiral symmetry G in 1+ 1 D spacetime is proposed. More precisely, we ask “whether there is …
Construction and classification of crystalline topological superconductor and insulators in three-dimensional interacting fermion systems
The natural existence of crystalline symmetry in real materials manifests the importance of
understanding crystalline symmetry-protected topological (SPT) phases, especially for …
understanding crystalline symmetry-protected topological (SPT) phases, especially for …