Topics in Open Topological Strings

Abstract

This thesis is based on some selected topics in open topological string theory which I have worked on during my Ph.D. It comprises an introductory part where I have focused on the points most needed for the later chapters, trading completeness for conciseness and clarity. Then, following [12], we discuss tadpole cancellation for topological strings where we mainly show how its implementation is needed for ensuring the same "odd" moduli decoupling encountered in the closed theory. Next we move to analyse how the open and closed effective field theories for the B model interact writing the complete Lagrangian. We first check it deriving some already known tree level amplitudes in term of target space quantities, and then we extend the recipe to new results; later we implement open closed duality from a target field theory perspective. This last subject is also analysed from a worldsheet point of view extending the analysis of [13]. Some ideas for future research are briefly reported.

Ph.D. Thesis

References in corpus (13)

• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
• Moduli of J-Holomorphic Curves with Lagrangian Boundary Conditions and Open Gromov-Witten Invariants for an $S^1$-Equivariant Pair
• Attractors and the Holomorphic Anomaly
• Wall crossing in local Calabi Yau manifolds
• Relative periods and open-string integer invariants for a compact Calabi-Yau hypersurface
• Emergent Calabi-Yau Geometry
• Calculations for Mirror Symmetry with D-branes
• Nonperturbative Effects and the Large-Order Behavior of Matrix Models and Topological Strings
• Non-perturbative effects and wall-crossing from topological strings
• The Real Topological String on a local Calabi-Yau
• Comments on the Holomorphic Anomaly in Open Topological String Theory
• The Coupling of Chern-Simons Theory to Topological Gravity
• Wall Crossing Phenomenology of Orientifolds