English

The universal envelope of the topological closed string BRST-complex

High Energy Physics - Theory 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.hep-th/0412161,
  title  = {The universal envelope of the topological closed string BRST-complex},
  author = {Harald Grosse and Karl-Georg Schlesinger},
  journal= {arXiv preprint arXiv:hep-th/0412161},
  year   = {2007}
}

Comments

20 pages

R2 v1 2026-07-22T15:27:39.939Z