# Thermal States in Conformal QFT. I

January 14, 2011

We analyze the set of locally normal KMS states w.r.t. the translation group
for a local conformal net A of von Neumann algebras on R. In this first part,
we focus on completely rational net A. Our main result here states that, if A
is completely rational, there exists exactly one locally normal KMS state \phi.
Moreover, \phi is canonically constructed by a geometric procedure. A crucial
r\^ole is played by the analysis of the "thermal completion net" associated
with a locally normal KMS state. A similar uniqueness result holds for KMS
states of two-dimensional local conformal nets w.r.t. the time-translation
one-parameter group.

open access link
Commun. Math. Phys. Vol. 309, No. 3 (2012), 703-735

@article{Camassa:2011te,
author = "Camassa, Paolo and Longo, Roberto and Tanimoto, Yoh and
Weiner, Mihaly",
title = "{Thermal States in Conformal QFT. I}",
journal = "Commun. Math. Phys.",
volume = "309",
year = "2012",
pages = "5",
doi = "10.1007/s00220-011-1337-3",
eprint = "1101.2865",
archivePrefix = "arXiv",
primaryClass = "math-ph",
SLACcitation = "%%CITATION = ARXIV:1101.2865;%%"
}

Keywords:

*none*