Central extensions, classical non-equivariant maps and residual symmetries

Details Central extensions, classical non-equivariant maps and residual symmetries Central extensions, classical non-equivariant maps and residual symmetries

2003-07-13

arxiv.org/abs/hep-th/0307118v1

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, LaTex. Talk given at the International Conference "Renormalization Group and Anomalies in Gravitation and Cosmology",

Scientific paper

10.1016/S0920-5632(03)02432-0

The arising of central extensions is discussed in two contexts. At first classical counterparts of quantum anomalies (deserving being named as "classical anomalies") are associated with a peculiar subclass of the non-equivariant maps. Further, the notion of "residual symmetry" for theories formulated in given non-vanishing EM backgrounds is introduced. It is pointed out that this is a Lie-algebraic, model-independent, concept.

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