Pith. sign in

REVIEW 10 cited by

Intrinsically/Purely Gapless-SPT from Non-Invertible Duality Transformations

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2307.04788 v1 pith:KZBY4GPD submitted 2023-07-10 cond-mat.str-el hep-th

Linhao Li , Masaki Oshikawa , Yunqin Zheng This is my paper
classification cond-mat.str-elhep-th
keywords gaplessconstructconstructiongappedintrinsicallysymmetrytopologicaltransformation
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

The Kennedy-Tasaki (KT) transformation was used to construct the gapped symmetry protected topological (SPT) phase from the symmetry breaking phase with open boundary condition, and was generalized in our proceeding work [L. Li et al. arXiv:2301.07899] on a ring by sacrificing the unitarity, and should be understood as a non-invertible duality transformation. In this work, we further apply the KT transformation to systematically construct gapless symmetry protected topological phases. This construction reproduces the known examples of (intrinsically) gapless SPT where the non-trivial topological features come from the gapped sectors by means of decorated defect constructions. We also construct new (intrinsically) purely gapless SPTs where there are no gapped sectors, hence are beyond the decorated defect construction. This construction elucidates the field theory description of the various gapless SPTs, and can also be applied to analytically study the stability of various gapless SPT models on the lattice under certain symmetric perturbations.

Discussion (0). Sign in to comment.

Forward citations

Cited by 10 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Distinct finite-temperature phase diagrams of non-invertible Kennedy--Tasaki duals

    cond-mat.str-el 2026-07 accept novelty 7.0 of 10

    In three dimensions, a cluster-model interpolation and its non-invertible Kennedy–Tasaki dual have inequivalent finite-T phase diagrams over a finite window of the interpolation, proven exactly at s=0 and mapped by QMC.

  2. Exploring nontrivial topology at quantum criticality in a superconducting processor

    quant-ph 2025-01 unverdicted novelty 7.0 of 10

    Experimental preparation of topologically nontrivial critical states of the cluster Ising model on a 100-qubit superconducting processor, verified by boundary g-function and two-fold entanglement spectrum degeneracy u...

  3. Notes on (-2)-form symmetries

    hep-th 2026-06 conditional novelty 6.0 of 10

    (-2)-form symmetries are realized as non-genuine defects in the Symmetry TFT and relate theories with different anomaly or associator data.

  4. SymTFT actions, Condensable algebras and Categorical anomaly resolutions

    hep-th 2025-09 conditional novelty 6.0 of 10

    For Q8 and Rep(Q8), the paper computes condensable algebras, identifies intrinsically gapless SPT phases, and derives fusion-category short exact sequences that resolve categorical anomalies.

  5. Deconfined criticality as intrinsically gapless topological state in one dimension

    cond-mat.str-el 2025-03 unverdicted novelty 6.0 of 10

    Deconfined criticality in a 1D lattice model is shown to be an intrinsically gapless topological state whose mixed anomaly enforces robust edge modes without gapped counterparts.

  6. Gapless Symmetry-Protected Topological States in Measurement-Only Circuits

    cond-mat.str-el 2025-01 unverdicted novelty 6.0 of 10

    Measurement-only circuits realize gapless SPT phases with nontrivial edge states at criticality, including symmetry-enriched percolation in Ising models and persistent Z4 gSPT phases mapped to Majorana loop models.

  7. Notes on (-2)-form symmetries

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Introduces (-2)-form symmetries that modify the SymTFT action to relate QFTs differing by anomaly data or non-invertible symmetry associators, illustrated in 2D-4D models, fusion categories, club-sandwich RG flows, an...

  8. Extending fusion rules with finite subgroups: A general construction of $Z_{N}$ extended conformal field theories and their orbifoldings

    hep-th 2025-08 unverdicted novelty 5.0 of 10

    Constructs Z_N extended fusion rings and modular partition functions for nonanomalous subgroups, extending to multicomponent systems and orbifoldings in CFTs.

  9. Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders

    hep-th 2025-06 unverdicted novelty 5.0 of 10

    An algebraic RG formalism for topological orders uses ideals in fusion rings to encode noninvertible symmetries and condensation rules between anyons.

  10. What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries

    hep-th 2023-08 unverdicted novelty 3.0 of 10

    A survey of non-invertible symmetries with constructions in the Ising model and applications to neutral pion decay and other systems.

Pith tools