Short Distance Expansion from the Dual Representation of Infinite Dimensional Lie Algebras

Details Short Distance Expansion from the Dual Representation of Infinite Dimensional Lie Algebras Short Distance Expansion from the Dual Representation of Infinite Dimensional Lie Algebras

2002-11-04

arxiv.org/abs/hep-th/0211021v2

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, LaTeX twice, no figure, replacement has corrected Lie algebra

Scientific paper

We compute the short distance expansion of fields or operators that live in the coadjoint representation of an infinite dimensional Lie algebra by using only properties of the adjoint representation and its dual. We explicitly compute the short distance expansion for the duals of the Virasoro algebra, affine Lie Algebras and the geometrically realized N-extended supersymmetric GR Virasoro algebra.

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