# Rotational KMS states and type I conformal nets

August 31, 2016

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.

open access link
doi:10.1007/s00220-017-2969-8

@article{Longo:2016pci,
author = "Longo, Roberto and Tanimoto, Yoh",
title = "{Rotational KMS states and type I conformal nets}",
journal = "Commun. Math. Phys.",
volume = "357",
year = "2018",
number = "1",
pages = "249-266",
doi = "10.1007/s00220-017-2969-8",
eprint = "1608.08903",
archivePrefix = "arXiv",
primaryClass = "math-ph",
SLACcitation = "%%CITATION = ARXIV:1608.08903;%%"
}

Keywords:

*none*