Diffeomorphisms from higher dimensional W-algebras
High Energy Physics - Theory
2009-10-22 v1 Quantum Algebra
Abstract
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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Cite
@article{arxiv.hep-th/9303034,
title = {Diffeomorphisms from higher dimensional W-algebras},
author = {Fernando Martinez Moras and Javier Mas and Eduardo Ramos},
journal= {arXiv preprint arXiv:hep-th/9303034},
year = {2009}
}
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10 pages