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The universal envelope of the topological closed string BRST-complex

Harald Grosse·Karl-Georg Schlesinger
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Abstract

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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Harald Grosse, Karl-Georg Schlesinger. 2004-12-15. The universal envelope of the topological closed string BRST-complex. https://arxiv.org/abs/hep-th/0412161

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