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arXiv · 1608.08903

Rotational KMS states and type I conformal nets

Roberto Longo·Yoh Tanimoto
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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.

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Roberto Longo, Yoh Tanimoto. 2016-08-31. Rotational KMS states and type I conformal nets. https://doi.org/10.1007/s00220-017-2969-8

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