2003/02/28 by D. Cremades, Daniel Cremades, L. E. Ibanez +3 · 6 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Context (archaeology) #Homotopy and Cohomology in Algebraic Topology #Instanton #Moduli #Moduli space #String (physics) #Superstring theory #Symplectic geometry #Worldsheet #Yukawa potential #hep-ph #hep-th
paper · pdf · doi:10.1088/1126-6708/2003/07/038
published as JHEP 0307 (2003) 038 · 47 pages, using JHEP3.cls, 11 figures. Typos and other minor corrections. References added
arxiv created 2003/03/12 · openalex publication_date 2003/07/16 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.