Bulk deformations of open topological string theory

Abstract

We present a general method to construct bulk-deformed open topological string theories from Landau-Ginzburg models. To this end we obtain a weak version of deformation quantisation, and we show how this together with the technique of homological perturbation allows to explicitly compute all bulk-deformed open topological string amplitudes at tree-level before tadpole-cancellation. Our approach is based on a coherent treatment of the problem in terms of the fundamental A-infinity- and L-infinity-structures involved.

40 pages; v2+v3: minor changes; v4: minor improvements in exposition, version to appear in CMP

References in corpus (5)

• Opening Mirror Symmetry on the Quintic
• Mirror Symmetry for Toric Branes on Compact Hypersurfaces
• Matrix factorisations and open topological string theory
• D-brane Superpotentials: Geometric and Worldsheet Approaches
• Five-Brane Superpotentials, Blow-Up Geometries and SU(3) Structure Manifolds