Symmetric gapped interfaces of SPT and SET states: systematic constructions
Symmetry-protected topological (SPT) states have boundary't Hooft anomalies that obstruct
the effective boundary theory realized in its own dimension with UV completion and with an …
the effective boundary theory realized in its own dimension with UV completion and with an …
from via Holographic Tensor Network, and Precision Discretization of
We show that the path integral of conformal field theories in D dimensions (CFT D) can be
constructed by solving for eigenstates of a renormalization group (RG) operator following …
constructed by solving for eigenstates of a renormalization group (RG) operator following …
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 …
Gauging categorical symmetries in 3d topological orders and bulk reconstruction
M Yu - arXiv preprint arXiv:2111.13697, 2021 - arxiv.org
We use the language of categorical condensation to give a procedure for gauging
nonabelian anyons, which are the manifestations of categorical symmetries in three …
nonabelian anyons, which are the manifestations of categorical symmetries in three …
Symmetry-enriched topological order in tensor networks: Defects, gauging and anyon condensation
We study symmetry-enriched topological order in two-dimensional tensor network states by
using graded matrix product operator algebras to represent symmetry induced domain walls …
using graded matrix product operator algebras to represent symmetry induced domain walls …
Hamiltonian and algebraic theories of gapped boundaries in topological phases of matter
We present an exactly solvable lattice Hamiltonian to realize gapped boundaries of Kitaev's
quantum double models for Dijkgraaf-Witten theories. We classify the elementary excitations …
quantum double models for Dijkgraaf-Witten theories. We classify the elementary excitations …
A (dummy's) guide to working with gapped boundaries via (fermion) condensation
A bstract We study gapped boundaries characterized by “fermionic condensates” in 2+ 1 d
topological order. Mathematically, each of these condensates can be described by a super …
topological order. Mathematically, each of these condensates can be described by a super …
[PDF][PDF] Para-fusion Category and Topological Defect Lines in ZN-parafermionic CFTs
J Chen, B Haghighat, QR Wang - arXiv preprint arXiv:2309.01914, 1914 - scipost.org
We study topological defect lines (TDLs) in two-dimensional N-parafermoinic CFTs. Different
from the bosonic case, in the 2d parafermionic CFTs, there exist parafermionic defect …
from the bosonic case, in the 2d parafermionic CFTs, there exist parafermionic defect …
Electrical probes of the non-Abelian spin liquid in Kitaev materials
Recent thermal-conductivity measurements evidence a magnetic-field-induced non-Abelian
spin-liquid phase in the Kitaev material α-RuCl 3. Although the platform is a good Mott …
spin-liquid phase in the Kitaev material α-RuCl 3. Although the platform is a good Mott …
Topological quantum computation with gapped boundaries
This paper studies fault-tolerant quantum computation with gapped boundaries. We first
introduce gapped boundaries of Kitaev's quantum double models for Dijkgraaf-Witten …
introduce gapped boundaries of Kitaev's quantum double models for Dijkgraaf-Witten …