An -valued index of symmetry-protected topological phases with on-site finite group symmetry for two-dimensional quantum spin systems

DOI10.1017/fmp.2021.17zbMath1503.81044arXiv2101.00426OpenAlexW4206549728MaRDI QIDQ5021938

Yoshiko Ogata

Publication date: 17 January 2022

Published in: Forum of Mathematics, Pi (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.00426

Mathematics Subject Classification ID

Operator algebra methods applied to problems in quantum theory (81R15) States of selfadjoint operator algebras (46L30)

Related Items (8)

Local Noether theorem for quantum lattice systems and topological invariants of gapped states ⋮ Local iterative block-diagonalization of gapped Hamiltonians: A new tool in singular perturbation theory ⋮ The split and approximate split property in 2D systems: stability and absence of superselection sectors ⋮ A derivation of braided C*-tensor categories from gapped ground states satisfying the approximate Haag duality ⋮ An invariant of symmetry protected topological phases with on-site finite group symmetry for two-dimensional fermion systems ⋮ Rigorous index theory for one-dimensional interacting topological insulators ⋮ SPT indices emerging from translation invariance in two-dimensional quantum spin systems ⋮ Stability of the bulk gap for frustration-free topologically ordered quantum lattice systems

Cites Work

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• An index for two-dimensional SPT states
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