Mathematical Physics
[Submitted on 12 Jul 2018
]
Title: Scale and Möbius covariance in two-dimensional Haag-Kastler net
Title: 二维Haag-Kastler网的尺度和莫比乌斯协变性
Abstract: Given a two-dimensional Haag-Kastler net which is Poincar\'e-dilation covariant with additional properties, we prove that it can be extended to a M\"obius covariant net. Additional properties are either a certain condition on modular covariance, or a variant of strong additivity. The proof relies neither on the existence of stress-energy tensor nor any assumption on scaling dimensions. We exhibit some examples of Poincar\'e-dilation covariant net which cannot be extended to a M\"obius covariant net, and discuss the obstructions.
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