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 (39)

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• Four-dimensional wall-crossing via three-dimensional field theory
• Mirror Manifolds And Topological Field Theory
• D-Branes on Calabi-Yau Spaces and Their Mirrors
• Worldsheet Derivation of a Large N Duality
• Quantum Background Independence In String Theory
• Supersymmetry in Boundary Integrable Models
• Moduli of J-Holomorphic Curves with Lagrangian Boundary Conditions and Open Gromov-Witten Invariants for an $S^1$-Equivariant Pair
• Orientifolds, Mirror Symmetry and Superpotentials
• The D5-brane effective action and superpotential in N=1 compactifications
• SO and Sp Chern-Simons at Large N
• Attractors and the Holomorphic Anomaly
• Wall crossing in local Calabi Yau manifolds
• Anomalies and inflow on D-branes and O-planes
• Exact Gravitational Threshold Correction in the FHSV Model
• Extended Holomorphic Anomaly and Loop Amplitudes in Open Topological String
• Topological wave functions and heat equations
• The Hitchin functionals and the topological B-model at one loop
• Topological Open String Amplitudes On Orientifolds
• Real Mirror Symmetry for One-parameter Hypersurfaces
• Open string topological amplitudes and gaugino masses
• Relative periods and open-string integer invariants for a compact Calabi-Yau hypersurface
• Emergent Calabi-Yau Geometry
• String theory and the Kauffman polynomial
• Calculations for Mirror Symmetry with D-branes
• The Wave Function Behavior of the Open Topological String Partition Function on the Conifold
• Nonperturbative Effects and the Large-Order Behavior of Matrix Models and Topological Strings
• On the Worldsheet Derivation of Large N Dualities for the Superstring
• Counting invariant of perverse coherent sheaves and its wall-crossing
• Non-perturbative effects and wall-crossing from topological strings
• Orientifolds, Unoriented Instantons and Localization
• Quantum Field Theory as Effective BV Theory from Chern-Simons
• The Real Topological String on a local Calabi-Yau
• Comments on the Holomorphic Anomaly in Open Topological String Theory
• The Real Topological Vertex at Work
• The Coupling of Chern-Simons Theory to Topological Gravity
• Wall Crossing Phenomenology of Orientifolds
• Matrix Factorizations, Massey Products and F-Terms for Two-Parameter Calabi-Yau Hypersurfaces
• Taming open/closed string duality with a Losev trick