We show that if A is the Haag-Kastler net generated by the energy-momentum tensor in a chiral quantum field theory, then every subsystem B subset A which is covariant under the action of SL(2,R) given on A must coincide with A. The result is valid for all the allowed values of the central charge and is obtained using scaling limit techniques.

Carpi, S. (1998). Absence of subsystems for the Haag-Kastler net generated by the energy-momentum tensor in two-dimensional conformal field theory. LETTERS IN MATHEMATICAL PHYSICS, 45(3), 259-267 [10.1023/A:1007466420114].

Absence of subsystems for the Haag-Kastler net generated by the energy-momentum tensor in two-dimensional conformal field theory

Carpi S.
1998-01-01

Abstract

We show that if A is the Haag-Kastler net generated by the energy-momentum tensor in a chiral quantum field theory, then every subsystem B subset A which is covariant under the action of SL(2,R) given on A must coincide with A. The result is valid for all the allowed values of the central charge and is obtained using scaling limit techniques.
1998
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/05 - ANALISI MATEMATICA
English
operator algebras
conformal field theory
energy-momentum tensor
subsystems
http://link.springer.com/article/10.1023/A:1007466420114?LI=true
Carpi, S. (1998). Absence of subsystems for the Haag-Kastler net generated by the energy-momentum tensor in two-dimensional conformal field theory. LETTERS IN MATHEMATICAL PHYSICS, 45(3), 259-267 [10.1023/A:1007466420114].
Carpi, S
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/252722
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