2024-03-28T18:51:24Zhttp://digital.csic.es/dspace-oai/requestoai:digital.csic.es:10261/177922019-02-14T10:12:11Zcom_10261_49com_10261_4col_10261_175
2009-10-20T08:54:55Z
urn:hdl:10261/17792
Matter wave functions and Yukawa couplings in F-theory Grand Unification
Font, Anamaría
Ibáñez, Luis E.
F-Theory
Superstring Vacua
Compactification and String Models
40 pages, 4 figures, 3 tables, 2 appendices.-- ArXiv pre-print available at: http://arxiv.org/abs/0907.4895
We study the local structure of zero mode wave functions of chiral matter fields in F-theory unification. We solve the differential equations for the zero modes derived from local Higgsing in the 8-dimensional parent action of F-theory 7-branes. The solutions are found as expansions both in powers and derivatives of the magnetic fluxes. Yukawa couplings are given by an overlap integral of the three wave functions involved in the interaction and can be calculated analytically. We provide explicit expressions for these Yukawas to second order both in the flux and derivative expansions and discuss the effect of higher order terms. We explicitly describe the dependence of the couplings on the U(1) charges of the relevant fields, appropriately taking into account their normalization. A hierarchical Yukawa structure is naturally obtained. The application of our results to the understanding of the observed hierarchies of quarks and leptons is discussed.
2009-10-20T08:54:55Z
2009-10-20T08:54:55Z
2009-09-04
artículo
Journal of High Energy Physics 9(036): (2009)
1126-6708
http://hdl.handle.net/10261/17792
10.1088/1126-6708/2009/09/036
1029-8479
eng
http://dx.doi.org/10.1088/1126-6708/2009/09/036
openAccess
International School for Advanced Studies
Institute of Physics Publishing