Bulk deformations of open topological string theory

TL;DR

This paper introduces a method to construct bulk-deformed open topological string theories from Landau-Ginzburg models, utilizing deformation quantisation and homological perturbation to compute amplitudes.

Contribution

It provides a systematic approach combining A-infinity and L-infinity structures to explicitly compute bulk-deformed open string amplitudes at tree-level.

Findings

Explicit computation of bulk-deformed open string amplitudes

Development of a weak deformation quantisation framework

Application of homological perturbation techniques

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.