Instantons and Holomorphic Couplings in Intersecting D-brane Models

Abstract

We clarify certain aspects and discuss extensions of the recently introduced string D-instanton calculus (hep-th/0609191). The one-loop determinants are related to one-loop open string threshold corrections in intersecting D6-brane models. Utilising a non-renormalisation theorem for the holomorphic Wilsonian gauge kinetic functions, we derive a number of constraints for the moduli dependence of the matter field Kaehler potentials of intersecting D6-brane models on the torus. Moreover, we compute string one-loop corrections to the Fayet-Iliopoulos terms on the D6-branes finding that they are proportional to the gauge threshold corrections. Employing these results, we discuss the issue of holomorphy for E2-instanton corrections to the superpotential. Eventually, we discuss E2-instanton corrections to the gauge kinetic functions and the FI-terms.

28 pages, 5 figures

References in corpus (2)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Spacetime Instanton Corrections in 4D String Vacua - The Seesaw Mechanism for D-Brane Models

Cited by in corpus (17)

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• Instanton Induced Open String Superpotentials and Branes at Singularities
• Lifting D-Instanton Zero Modes by Recombination and Background Fluxes
• Instanton effects in N=1 brane models and the Kahler metric of twisted matter
• Instantons in N=2 magnetized D-brane worlds
• Exotic instanton counting and heterotic/type I' duality
• Hierarchies from D-brane instantons in globally defined Calabi-Yau Orientifolds
• Gauge Threshold Corrections for Local Orientifolds
• Non-perturbative superpotentials across lines of marginal stability
• Mirror Mediation
• Stringy Instantons and Yukawa Couplings in MSSM-like Orientifold Models
• Gauge Thresholds and Kaehler Metrics for Rigid Intersecting D-brane Models
• Kaehler Metrics and Yukawa Couplings in Magnetized Brane Models
• String GUT Scenarios with Stabilised Moduli
• D-brane Instantons in 4D Supersymmetric String Vacua
• Instantons and Wormholes in N=2 supergravity