Topological operators and completeness of spectrum in discrete gauge theories
T Rudelius, SH Shao - Journal of High Energy Physics, 2020 - Springer
A bstract In many gauge theories, the existence of particles in every representation of the
gauge group (also known as completeness of the spectrum) is equivalent to the absence of …
gauge group (also known as completeness of the spectrum) is equivalent to the absence of …
Fermionic finite-group gauge theories and interacting symmetric/crystalline orders via cobordisms
We formulate a family of spin Topological Quantum Field Theories (spin-TQFTs) as fermionic
generalization of bosonic Dijkgraaf–Witten TQFTs. They are obtained by gauging G …
generalization of bosonic Dijkgraaf–Witten TQFTs. They are obtained by gauging G …
Construction and classification of symmetry-protected topological phases in interacting fermion systems
The classification and lattice model construction of symmetry-protected topological (SPT)
phases in interacting fermion systems are very interesting but challenging. In this paper, we …
phases in interacting fermion systems are very interesting but challenging. In this paper, we …
Non-Abelian hybrid fracton orders
We introduce lattice gauge theories which describe three-dimensional, gapped quantum
phases exhibiting the phenomenology of both conventional three-dimensional topological …
phases exhibiting the phenomenology of both conventional three-dimensional topological …
Quantum 4d Yang-Mills theory and time-reversal symmetric 5d higher-gauge topological field theory
We explore various 4d Yang-Mills gauge theories (YM) living as boundary conditions of 5d
gapped short-/long-range entangled (SRE/LRE) topological states. Specifically, we explore …
gapped short-/long-range entangled (SRE/LRE) topological states. Specifically, we explore …
Fusion rules and shrinking rules of topological orders in five dimensions
A bstract As a series of work about 5D (spacetime) topological orders, here we employ the
path-integral formalism of 5D topological quantum field theory (TQFT) established in Zhang …
path-integral formalism of 5D topological quantum field theory (TQFT) established in Zhang …
String condensation and topological holography for 2+ 1D gapless SPT
R Wen - arXiv preprint arXiv:2408.05801, 2024 - arxiv.org
The theory of anyon condensation is the foundation of the bulk-boundary relation and
topological holography in 2+ 1D/1+ 1D. It is believed string condensation should replace …
topological holography in 2+ 1D/1+ 1D. It is believed string condensation should replace …
Hybrid fracton phases: Parent orders for liquid and nonliquid quantum phases
We introduce hybrid fracton orders: three-dimensional gapped quantum phases that exhibit
the phenomenology of both conventional three-dimensional topological orders and fracton …
the phenomenology of both conventional three-dimensional topological orders and fracton …
Continuum field theory of three-dimensional topological orders with emergent fermions and braiding statistics
Universal topological data of topologically ordered phases can be captured by topological
quantum field theory in continuous space time by taking the limit of low energies and long …
quantum field theory in continuous space time by taking the limit of low energies and long …
Theory of oblique topological insulators
A long-standing problem in the study of topological phases of matter has been to understand
the types of fractional topological insulator (FTI) phases possible in 3+ 1 dimensions. Unlike …
the types of fractional topological insulator (FTI) phases possible in 3+ 1 dimensions. Unlike …