The universal envelope of the topological closed string BRST-complex

Details The universal envelope of the topological closed string BRST-complex The universal envelope of the topological closed string BRST-complex

2004-12-15

arxiv.org/abs/hep-th/0412161v1

Physics

High Energy Physics

High Energy Physics - Theory

20 pages

Scientific paper

We construct a universal envelope for any Poisson- and Gerstenhaber algebra. While the deformation theory of Poisson algebras seems to be partially trivial, results from string- and M-theory suggest a rich deformation theory of Gerstenhaber algebras. We apply our construction in this case to well known questions on the topological closed string BRST-complex. Finally, we find a similar algebraic structure, as for the universal envelope, in the SU(2)-WZW model.

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