Diffeomorphisms from higher dimensional W-algebras

Details Diffeomorphisms from higher dimensional W-algebras Diffeomorphisms from higher dimensional W-algebras

1993-03-05

arxiv.org/abs/hep-th/9303034v1

Mod.Phys.Lett. A8 (1993) 2189-2198

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

10.1142/S0217732393001914

Classical W-algebras in higher dimensions have been recently constructed. In this letter we show that there is a finitely generated subalgebra which is isomorphic to the algebra of local diffeomorphisms in D dimensions. Moreover, there is a tower of infinitely many fields transforming under this subalgebra as symmetric tensorial one-densities. We also unravel a structure isomorphic to the Schouten symmetric bracket, providing a natural generalization of w_\infty in higher dimensions.

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