Quantum Hall physics: Hierarchies and conformal field theory techniques
The fractional quantum Hall effect, being one of the most studied phenomena in condensed
matter physics during the past 30 years, has generated many ground-breaking new ideas …
matter physics during the past 30 years, has generated many ground-breaking new ideas …
Local subsystems in gauge theory and gravity
A bstract We consider the problem of defining localized subsystems in gauge theory and
gravity. Such systems are associated to spacelike hypersurfaces with boundaries and …
gravity. Such systems are associated to spacelike hypersurfaces with boundaries and …
Topological phases protected by point group symmetry
We consider symmetry-protected topological (SPT) phases with crystalline point group
symmetry, dubbed point group SPT (pgSPT) phases. We show that such phases can be …
symmetry, dubbed point group SPT (pgSPT) phases. We show that such phases can be …
Classification and properties of symmetry-enriched topological phases: Chern-Simons approach with applications to spin liquids
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 …
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 …
Theory of twist liquids: Gauging an anyonic symmetry
Abstract Topological phases in (2+ 1)-dimensions are frequently equipped with global
symmetries, like conjugation, bilayer or electric–magnetic duality, that relabel anyons …
symmetries, like conjugation, bilayer or electric–magnetic duality, that relabel anyons …
Fermion condensation and super pivotal categories
We study fermionic topological phases using the technique of fermion condensation. We
give a prescription for performing fermion condensation in bosonic topological phases that …
give a prescription for performing fermion condensation in bosonic topological phases that …
Bulk-boundary correspondence in (3+ 1)-dimensional topological phases
We discuss (2+ 1)-dimensional gapless surface theories of bulk (3+ 1)-dimensional
topological phases, such as the BF theory at level K, and its generalization. In particular, we …
topological phases, such as the BF theory at level K, and its generalization. In particular, we …
A mathematical theory of gapless edges of 2d topological orders. Part I
L Kong, H Zheng - Journal of High Energy Physics, 2020 - Springer
A bstract This is the first part of a two-part work on a unified mathematical theory of gapped
and gapless edges of 2d topological orders. We analyze all the possible observables on the …
and gapless edges of 2d topological orders. We analyze all the possible observables on the …
How universal is the entanglement spectrum?
It is now commonly believed that the ground state entanglement spectrum (ES) exhibits
universal features characteristic of a given phase. In this Letter, we show that this belief is …
universal features characteristic of a given phase. In this Letter, we show that this belief is …