# 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.

Keywords:

*none*