Matrix factorisations and open topological string theory
arXiv:0904.0862 · doi:10.1088/1126-6708/2009/07/005
Abstract
Amplitudes in open topological string theory may be described completely by certain A-infinity-categories. We detail a general construction of all cyclic minimal models for a given A-infinity-algebra and apply this result to the case of N=2 supersymmetric Landau-Ginzburg models. This allows to solve the tree-level theory in the sense that all amplitudes and hence the effective superpotential can be computed algorithmically. Furthermore, the construction provides a novel derivation of the topological metric of such models.
30 pages; v2: three typos corrected
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