Instantons and Holomorphic Couplings in Intersecting D-brane Models

Details Instantons and Holomorphic Couplings in Intersecting D-brane Models Instantons and Holomorphic Couplings in Intersecting D-brane Models

2007-05-16

arxiv.org/abs/0705.2366v1

JHEP 0708:044,2007

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, 5 figures

Scientific paper

10.1088/1126-6708/2007/08/044

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.

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