Thermal States in Conformal QFT. I
Mathematical Physics
2012-03-01 v2 High Energy Physics - Theory
math.MP
Operator Algebras
Abstract
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.
Cite
@article{arxiv.1101.2865,
title = {Thermal States in Conformal QFT. I},
author = {Paolo Camassa and Roberto Longo and Yoh Tanimoto and Mihály Weiner},
journal= {arXiv preprint arXiv:1101.2865},
year = {2012}
}
Comments
38 pages