D-Branes in Topological String Theory

Understand

This thesis is concerned with D-branes in topological string theory, focusing on the description of B-type D-branes in topological Landau-Ginzburg models.

• Such D-branes are characterized by matrix factorizations of the Landau-Ginzburg superpotential.
• After reviewing some aspects of topological string theory we give a detailed discussion of matrix factorizations.
• We discuss methods to calculate the effective superpotential in minimal models, putting emphasis on an algorithm to calculate the effective superpotential via deformations of matrix factorizations.