Yukawa couplings in intersecting D-brane models
By D. Cremades, Luis E Ibáñez, F. Marchesano. 2003
303 citations recorded by the source corpus.
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.
Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/d992276b1dd47413634dd9d3ce943ff6e65ebad4
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
In Mathematical Physics
In Nuclear and High Energy Physics
Citations in the corpus
- F-term axion monodromy inflation (2014, background): “the discrete identication. In D-brane models, such terms can arise e.g. from worldsheet instantons, and are in fact present in phenomenologically relevant quantities like Yukawa couplings (see e.g., [27]). Since the axion decay constants of these elds is sub-Planckian, super-Planckian eld ranges req”
- Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, methodology): “In this subsection we shall review Yukawa couplings of chiral matter in type II orientifolds [375, 376, 377, 378, 379, 380].”
- Computing Yukawa couplings from magnetized extra dimensions (2004, unknown): “1 Intersecting brane Yukawas As was shown in [27], the computation of Yukawas in the context of Intersecting Brane Worlds in toroidal compactifications can be nicely expressed in terms of theta functions.”
- Brane tilings and their applications (2008, methodology): “3 corresponds to computation of Yukawa couplings in intersecting D-brane models [326, 327].”
- Chiral D-brane Models with Frozen Open String Moduli (2005, methodology): “This kind of analysis have been performed in [99–102], for the particular case of the MSSMlike local model constructed in [103].”
- Getting just the supersymmetric standard model at intersecting branes on the Z(6) orientifold (2004, background): “If a realistic globally N = 1 supersymmetric standard model with the right chiral spectrum was found, many phenomenological properties could be discussed [43], such as for instance proton decay [44] or the running of the gauge couplings [34,45] and a possible gauge unification [46], the generation o”
- Fluxes, moduli fixing and MSSM-like vacua in a simple IIA orientifold (2005, methodology): “lead to consistent low-energy physics. Something similar happens with the Yukawa couplings, which have been computed and can be neatly written in terms of products of Jacobi ϑ-functions in this model [54,59]. They scale like the gauge couplings and hence are equally suppressed for large fluxes. v) Th”
- D‐branes in Standard Model building, gravity and cosmology (2003, background): “Adjusting such areas it seem possible that an appropriate hierarchy of Yukawa couplings can be generated [160].”
- One in a Billion: MSSM-like D-Brane Statistics (2005, background): “However, these properties really depend on the finer details of the models (see for instance [52–55]) and an honest statistical treatment of them is much harder to carry out.”
- Scattering of gauge, matter, and moduli fields from intersecting branes (2004, methodology): “Here the Wj is the superpotential describing the (classical) world–sheet disk instanton contributions elaborated in [17,18].”