Given a two-dimensional Haag-Kastler net which is Poincare-dilation covariant with additional properties, we prove that it can be extended to a Mobius 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 Poincare-dilation covariant net which cannot be extended to a Mobius covariant net, and discuss the obstructions.
Morinelli, V., Tanimoto, Y. (2019). Scale and Möbius covariance in two-dimensional Haag–Kastler net. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 371(2), 619-650 [10.1007/s00220-019-03410-x].
Scale and Möbius covariance in two-dimensional Haag–Kastler net
Morinelli V.;Tanimoto Y.
2019-01-01
Abstract
Given a two-dimensional Haag-Kastler net which is Poincare-dilation covariant with additional properties, we prove that it can be extended to a Mobius 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 Poincare-dilation covariant net which cannot be extended to a Mobius covariant net, and discuss the obstructions.File | Dimensione | Formato | |
---|---|---|---|
25_MT_Scale_and_Moebius.pdf
accesso aperto
Tipologia:
Versione Editoriale (PDF)
Licenza:
Creative commons
Dimensione
1.07 MB
Formato
Adobe PDF
|
1.07 MB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.