Relationship between symmetry protected topological phases and boundary conformal field theories via the entanglement spectrum

DOI10.1088/1751-8121/aa7782zbMath1375.81213arXiv1606.06402OpenAlexW3102430936MaRDI QIDQ4978595

Gil Young Cho, Shinsei Ryu, Ken Shiozaki, Andreas W. W. Ludwig

Publication date: 25 August 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.06402

zbMATH Keywords

boundary conformal field theoryentanglement spectrumsymmetry-protected topological phases

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Statistical mechanics of superconductors (82D55) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Critical phenomena in equilibrium statistical mechanics (82B27) Projective representations and multipliers (20C25) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (9)

Matrix product states and equivariant topological field theories for bosonic symmetry-protected topological phases in (1+1) dimensions ⋮ Non-perturbative defects in tensor models from melonic trees ⋮ Entanglement spectrum degeneracy and the Cardy formula in 1+1 dimensional conformal field theories ⋮ Symmetry protected phases in inhomogeneous spin chains ⋮ Boundary states for chiral symmetries in two dimensions ⋮ Bulk-edge correspondence in the Haldane phase of the bilinear-biquadratic spin-1 Hamiltonian ⋮ The Arf-Brown TQFT of pin⁻ surfaces ⋮ Comments on symmetric mass generation in 2d and 4d ⋮ Boundary and defect CFT: open problems and applications

Cites Work

• Unnamed Item
• Theory of twist liquids: Gauging an anyonic symmetry
• Conformal field theory
• Anyons in an exactly solved model and beyond
• Infinite conformal symmetry in two-dimensional quantum field theory
• The operator algebra of orbifold models
• Boundary conformal field theory approach to the critical two-dimensional Ising model with a defect line
• Majorana fermions, exact mapping between quantum impurity fixed points with four bulk fermion species, and solution of the ``Unitarity Puzzle
• Modular invariance and discrete torsion on orbifolds
• Matrix product states and equivariant topological field theories for bosonic symmetry-protected topological phases in (1+1) dimensions
• Boundary states as holographic duals of trivial spacetimes
• Exact, asymptotic, three-dimensional, space- and time-dependent, Green’s functions in the multichannel Kondo effect
• Universal noninteger ‘‘ground-state degeneracy’’ in critical quantum systems
• D-branes on orbifolds with discrete torsion and topological obstruction

This page was built for publication: Relationship between symmetry protected topological phases and boundary conformal field theories via the entanglement spectrum