D-Branes in Topological String Theory

Details D-Branes in Topological String Theory D-Branes in Topological String Theory

2007-09-13

arxiv.org/abs/0709.2045v1

Physics

High Energy Physics

High Energy Physics - Theory

PhD thesis, 147+9 pages, 10 figures

Scientific paper

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. We furthermore perform a non-trivial check of homological mirror symmetry for the torus.

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