A derivation of braided $C^*$-tensor categories from gapped ground states satisfying the approximate Haag duality

Yoshiko Ogata

A derivation of braided $C^*$-tensor categories from gapped ground states satisfying the approximate Haag duality

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 2106.15741 v1 pith:6Z2EGTCG submitted 2021-06-29 math-ph cond-mat.stat-mechmath.MPmath.OAquant-ph

Yoshiko Ogata This is my paper

classification math-phcond-mat.stat-mechmath.MPmath.OAquant-ph

keywords approximatebraidedcategoriesdualitygappedgroundhaagsatisfying

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

abstract

We derive braided $C^*$-tensor categories from gapped ground states on two-dimensional quantum spin systems satisfying some additional condition which we call the approximate Haag duality.

Discussion (0). Sign in to comment.

Forward citations

Cited by 1 Pith paper

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

Disjoint additivity and local quantum physics
hep-th 2025-09 conditional novelty 7.0 of 10

Local quantum systems should obey disjoint additivity plus Haag duality, a combination that survives higher-form symmetries and fails for known nonlocal constructions.

Pith tools