Local Commutators and Deformations in Conformal Chiral Quantum Field Theories

Details Local Commutators and Deformations in Conformal Chiral Quantum Field Theories Local Commutators and Deformations in Conformal Chiral Quantum Field Theories

2011-05-15

arxiv.org/abs/1105.2963v1

Int.J.Mod.Phys.A26:3357-3383,2011

Physics

Mathematical Physics

20 pages

Scientific paper

10.1142/S0217751X11053985

We study the general form of M"obius covariant local commutation relations in conformal chiral quantum field theories and show that they are intrinsically determined up to structure constants, which are subject to an infinite system of constraints. The deformation theory of these commutators is controlled by a cohomology complex, whose cochain spaces consist of linear maps that are subject to a complicated symmetry property, a generalization of the anti-symmetry of the Lie algebra case.

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