D-Branes in Topological String Theory
High Energy Physics - Theory
2007-09-14 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0709.2045,
title = {D-Branes in Topological String Theory},
author = {Johanna Knapp},
journal= {arXiv preprint arXiv:0709.2045},
year = {2007}
}
Comments
PhD thesis, 147+9 pages, 10 figures