D-Branes in Topological String Theory

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.

PhD thesis, 147+9 pages, 10 figures

References in corpus (44)

• Phases of $N=2$ Theories In Two Dimensions
• D-Branes And K-Theory
• Mirror Manifolds And Topological Field Theory
• D-Branes on Calabi-Yau Spaces and Their Mirrors
• Open string amplitudes and large order behavior in topological string theory
• String Theory on Calabi-Yau Manifolds
• On the structure of open-closed topological field theory in two dimensions
• Holomorphic anomaly and matrix models
• Supersymmetry in Boundary Integrable Models
• F-term equations near Gepner points
• Permutation Branes
• Superpotentials, A-infinity Relations and WDVV Equations for Open Topological Strings
• On the boundary coupling of topological Landau-Ginzburg models
• Moduli Stabilization in Non-Geometric Backgrounds
• Localization and traces in open-closed topological Landau-Ginzburg models
• Differential Equations for Periods and Flat Coordinates in Two Dimensionsional Topological Matter Theories
• D-branes in Topological Minimal Models: the Landau-Ginzburg Approach
• On N=1 Mirror Symmetry for Open Type II Strings
• D-branes from Matrix Factorizations
• Extended Holomorphic Anomaly and Loop Amplitudes in Open Topological String
• A mini-course on topological strings
• Matrix Factorizations And Mirror Symmetry: The Cubic Curve
• $A_{\infty }$-structures on an elliptic curve
• Homological mirror symmetry with higher products
• Lectures on D-branes and Sheaves
• Exceptional SW Geometry from ALE Fibrations
• Matrix Factorizations and Kauffman Homology
• D-brane effective action and tachyon condensation in topological minimal models
• The RR charges of A-type Gepner models
• Tachyon Condensation on the Elliptic Curve
• The Landau-Ginzburg to Calabi-Yau Dictionary for D-Branes
• Generalised N=2 permutation branes
• The matrix factorisations of the D-model
• Effective superpotentials for B-branes in Landau-Ginzburg models
• D-branes in Toroidal Orbifolds and Mirror Symmetry
• Instanton Geometry and Quantum A-infinity structure on the Elliptic Curve
• Quantum A-infinity Structures for Open-Closed Topological Strings
• Topological D-Branes and Commutative Algebra
• Tensor Product and Permutation Branes on the Torus
• Boundary states, matrix factorisations and correlation functions for the E-models
• Indefinite theta series of signature (1,1) from the point of view of homological mirror symmetry
• Matrix Factorizations and Representations of Quivers II: type ADE case
• Homological Mirror Symmetry in Dimension One
• Threefold Flops via Matrix Factorization

Cited by in corpus (5)

• Maximal Cohen-Macaulay modules over surface singularities
• Matrix Factorizations, Massey Products and F-Terms for Two-Parameter Calabi-Yau Hypersurfaces
• Topological String on Toric CY3s in Large Complex Structure Limit
• Deformation Theory of Matrix Factorizations and F-Terms in the Boundary Changing Sector
• Brane superpotential and local Calabi-Yau manifolds