Regularization and Quantization of Higher Dimensional Current Algebras

Details Regularization and Quantization of Higher Dimensional Current Algebras Regularization and Quantization of Higher Dimensional Current Algebras

1994-06-27

arxiv.org/abs/hep-th/9406177v1

Physics

High Energy Physics

High Energy Physics - Theory

(Talk given at the G\"ursey Memorial Conference I on Strings and Symmetries, Istanbul, Turkey, June 6-10 1994.) 11 pages, plai

Scientific paper

We present some recently discovered infinite dimensional Lie algebras that can be understood as extensions of the algebra Map(M,g) of maps from a compact p-dimensional manifold to some finite dimensional Lie algebra g. In the first part of the paper, we describe the physical motivations for the study of these algebras. In the second part, we discuss their realization in terms of pseudo-differential operators and comment on their possible representation theory.

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