Let F be the Haag-Kastler net generated by the su(2) chiral current algebra at level 1. We classify the SL(2, R)-covariant subsystems B subset F by showing that they are all fixed points nets F^H for some subgroup H of the gauge automorphisms group SO(3) of F. Then using the fact that the net F_1 generated by the u(1) chiral current can be regarded as a subsystem of F we classify the subsystems of F_1. In this case there are two distinct proper subsystems: the one generated by the energy-momentum tensor and the gauge invariant subsystem F_1^{Z_2}.
Carpi, S. (1999). Classification of subsystems for the Haag-Kastler nets generated by c=1 chiral current algebras. LETTERS IN MATHEMATICAL PHYSICS, 47(4), 353-364 [10.1023/A:1007517131143].
Classification of subsystems for the Haag-Kastler nets generated by c=1 chiral current algebras
Carpi S.
1999-01-01
Abstract
Let F be the Haag-Kastler net generated by the su(2) chiral current algebra at level 1. We classify the SL(2, R)-covariant subsystems B subset F by showing that they are all fixed points nets F^H for some subgroup H of the gauge automorphisms group SO(3) of F. Then using the fact that the net F_1 generated by the u(1) chiral current can be regarded as a subsystem of F we classify the subsystems of F_1. In this case there are two distinct proper subsystems: the one generated by the energy-momentum tensor and the gauge invariant subsystem F_1^{Z_2}.File | Dimensione | Formato | |
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