On the Open-Closed B-Model

Abstract

We study the coupling of the closed string to the open string in the topological B-model. These couplings can be viewed as gauge invariant observables in the open string field theory, or as deformations of the differential graded algebra describing the OSFT. This is interpreted as an intertwining map from the closed string sector to the deformation (Hochschild) complex of the open string algebra. By an explicit calculation we show that this map induces an isomorphism of Gerstenhaber algebras on the level of cohomology. Reversely, this can be used to derive the closed string from the open string. We shortly comment on generalizations to other models, such as the A-model.

LaTeX, 48 pages. Citation added

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• Massless and Massive Three Dimensional Super Yang-Mills Theory and Mini-Twistor String Theory
• Super-Chern-Simons Theory as Superstring Theory
• Open-closed homotopy algebra in mathematical physics
• Topological Open Membranes
• Double field theory for the A/B-models and topological S-duality in generalized geometry
• (Non)-supersymmetric Marginal Deformations from Twistor String Theory
• Homotopy algebra of open-closed strings
• Homotopy Classification of Bosonic String Field Theory
• Twistor Strings with Flavour
• An Alternative Topological Field Theory of Generalized Complex Geometry
• Doubled Formalism, Complexification and Topological Sigma-Models
• Algebra of Kodaira-Spencer Gravity and Deformation of Calabi-Yau Manifold