Yukawa couplings in intersecting D-brane models

Abstract

We compute the Yukawa couplings among chiral fields in toroidal Type II compactifications with wrapping D6-branes intersecting at angles. Those models can yield realistic standard model spectrum living at the intersections. The Yukawa couplings depend both on the Kahler and open string moduli but not on the complex structure. They arise from worldsheet instanton corrections and are found to be given by products of complex Jacobi theta functions with characteristics. The Yukawa couplings for a particular intersecting brane configuration yielding the chiral spectrum of the MSSM are computed as an example. We also show how our methods can be extended to compute Yukawa couplings on certain classes of elliptically fibered CY manifolds which are mirror to complex cones over del Pezzo surfaces. We find that the Yukawa couplings in intersecting D6-brane models have a mathematical interpretation in the context of homological mirror symmetry. In particular, the computation of such Yukawa couplings is related to the construction of Fukaya's category in a generic symplectic manifold.

47 pages, using JHEP3.cls, 11 figures. Typos and other minor corrections. References added

References in corpus (53)

• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• Fivebranes, Membranes and Non-Perturbative String Theory
• Consistency Conditions for Orientifolds and D-Manifolds
• Branes Intersecting at Angles
• A Note on the Green - Schwarz Mechanism in Open - String Theories
• Chiral Four-Dimensional N=1 Supersymmetric Type IIA Orientifolds from Intersecting D6-Branes
• Three-Family Supersymmetric Standard-like Models from Intersecting Brane Worlds
• Knot Invariants and Topological Strings
• Intersecting Brane Worlds
• D=4 Chiral String Compactifications from Intersecting Branes
• Type-I strings on magnetised orbifolds and brane transmutation
• Noncommutative Compactifications of Type I Strings on Tori with Magnetic Background Flux
• Brane Interaction as the Origin of Inflation
• The Standard Model from Stable Intersecting Brane World Orbifolds
• Anomalous U(1)'s in Type I and Type IIB D=4, N=1 string vacua
• Orientifolds of K3 and Calabi-Yau Manifolds with Intersecting D-branes
• Open string instantons and superpotentials
• Inflationary Scenarios from Branes at Angles
• D-branes, Categories and N=1 Supersymmetry
• Type I Strings with F- and B-Flux
• D-brane probes, RR tadpole cancellation and K-theory charge
• Standard Model at Intersecting D5-branes: Lowering the String Scale
• A D=4 N=1 Orbifold of Type I Strings
• Supersymmetric Z_N times Z_M Orientifolds in 4D with D-Branes at Angles
• D-branes on the Quintic
• Supersymmetric 4D Orientifolds of Type IIA with D6-branes at Angles
• Intersecting Brane Models of Particle Physics and the Higgs Mechanism
• Chiral four-dimensional string compactifications with intersecting D-branes
• Supersymmetric Orientifolds in 6D with D-Branes at Angles
• Supersymmetric Intersecting Branes on the Type IIA T^6/Z_4 orientifold
• Supersymmetric Three-cycles and (Super)symmetry Breaking
• TeV-Scale Z' Bosons from D-branes
• SUSY Quivers, Intersecting Branes and the Modest Hierarchy Problem
• Mirror symmetry for open strings
• Recombination of Intersecting D-Branes and Cosmological Inflation
• Standard-like models from intersecting D4-branes
• Quiver Theories from D6-branes via Mirror Symmetry
• Hybrid Inflation in Intersecting Brane Worlds
• New Standard Model Vacua from Intersecting Branes
• Exact Standard Model Compactifications from Intersecting Branes
• GUT Model Hierarchies from Intersecting Branes
• Intersecting Branes Flip SU(5)
• Standard-like models from Intersecting D5-branes
• Branes at angles, torons, stability and supersymmetry
• Intersecting brane world models from D8-branes on (T^2 x T^4/Z_3)/Omega R_1 type IIA orientifolds
• Local models for intersecting brane worlds
• Topics in D-geometry
• D-brane, fluxes and chirality
• Deformed Intersecting D6-Brane GUTS I
• Bound States of D(2p)-D0 Systems and Supersymmetric p-Cycles
• Couplings in Pseudo-Supersymmetry
• Loop-Effects in Pseudo-Supersymmetry

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