Some comments on the local curve (B-side)

Abstract

We consider non-compact Calabi-Yau threefolds that are fibrations over compact Riemann surfaces, the local curves, and study the dynamics of B-branes wrapped around the curves. We discuss different but closely related possible approaches to this problem. In particular, we study the open topological string field theory of the B-brane and the dimensional reduction of the holomorphic Chern-Simons functional to the curve. The classical (g_s = 0) limit of these dynamics for one single brane is given by the deformation theory of the curve inside the Calabi-Yau threefold; we consider this last approach for the Laufer curve case.

PhD Thesis, 60 pages, 2 PostScript figures. Some sections reshuffled and some comments added with respect to the version presented at SISSA on November 28, 2006, according to the suggestions of the examination committee. A citation removed because of font incompatibility

References in corpus (33)

• Large N Field Theories, String Theory and Gravity
• Dirichlet-Branes and Ramond-Ramond Charges
• D-Branes and Topological Field Theories
• Superstrings and Topological Strings at Large N
• Topological Strings and Integrable Hierarchies
• A Perturbative Window into Non-Perturbative Physics
• D-Branes on Calabi-Yau Spaces and Their Mirrors
• Mirror Symmetry, D-Branes and Counting Holomorphic Discs
• Quantum Foam and Topological Strings
• Open string amplitudes and large order behavior in topological string theory
• Open string instantons and superpotentials
• Chern-Simons Theory and Topological Strings
• Les Houches lectures on matrix models and topological strings
• Geometric Transitions and N=1 Quiver Theories
• On operad structures of moduli spaces and string theory
• Quantum Calabi-Yau and Classical Crystals
• Computation of Superpotentials for D-Branes
• An Introduction to Supersymmetric Gauge Theories and Matrix Models
• Exact Superpotentials for Theories with Flavors via a Matrix Integral
• Topological sigma-models with H-flux and twisted generalized complex manifolds
• A mini-course on topological strings
• Lectures on deformations of complex manifolds
• Exact superpotentials in N=1 theories with flavor and their matrix model formulation
• Topological M-theory as Unification of Form Theories of Gravity
• Geometric transitions and integrable systems
• Cohomology and Obstructions II: Curves on K-trivial threefolds
• Lectures on Mirror Symmetry, Derived Categories, and D-branes
• D-Branes and N=1 Supersymmetry
• Conifold geometries, topological strings and multi-matrix models
• Special geometry of local Calabi-Yau manifolds and superpotentials from holomorphic matrix models
• The 2-matrix model, biorthogonal polynomials, Riemann-Hilbert problem, and algebraic geometry
• Normal bundles to Laufer rational curves in local Calabi-Yau threefolds
• Flavour from partially resolved singularities