The universal envelope of the topological closed string BRST-complex

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.

20 pages

References in corpus (6)

• Deformation quantization of Poisson manifolds, I
• Non-commutative World-volume Geometries: Branes on SU(2) and Fuzzy Spheres
• Quantum Affine Algebras and Deformations of the Virasoro and W-algebras
• Small Instantons, Little Strings and Free Fermions
• Open Branes in Space-Time Non-Commutative Little String Theory
• Deformations of Closed Strings and Topological Open Membranes