Pith. sign in

REVIEW 1 cited by

Rotational KMS states and type I conformal nets

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 1608.08903 v2 pith:EZMRFK2A submitted 2016-08-31 math-ph hep-thmath.MPmath.OA

Roberto Longo , Yoh Tanimoto This is my paper · ORCID
classification math-phhep-thmath.MPmath.OA
keywords statestypeconformalnetscompletelygibbsrationaladmits
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We consider KMS states on a local conformal net on the unit circle with respect to rotations. We prove that, if the conformal net is of type I, namely if it admits only type I DHR representations, then the extremal KMS states are the Gibbs states in an irreducible representation. Completely rational nets, the U(1)-current net, the Virasoro nets and their finite tensor products are shown to be of type I. In the completely rational case, we also give a direct proof that all factorial KMS states are Gibbs states.

Discussion (0). Continue with ORCID 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

  1. Rational and non-rational two-dimensional conformal field theories arising from lattices

    math-ph 2025-06 conditional novelty 7.0 of 10

    Even lattices in an indefinite bilinear form classify two-dimensional conformal net extensions of Heisenberg nets under a discreteness assumption, with explicit rational and non-rational examples.

Pith tools