Computing Yukawa couplings from magnetized extra dimensions

By D. Cremades, Luis E Ibáñez, F. Marchesano. 2004

356 citations recorded by the source corpus.

We compute Yukawa couplings involving chiral matter fields in toroidal com- pactifications of higher dimensional super-Yang-Mills theory with magnetic fluxes. Specif- ically we focus on toroidal compactifications of D=10 super-Yang-Mills theory, which may be obtained as the low-energy limit of Type I, Type II or Heterotic strings. Chirality is ob- tained by turning on constant magnetic fluxes in each of the 2-tori. Our results are general and may as well be applied to lower D = 6,8 dimensional field theories. We solve Dirac and Laplace equations to find out the explicit form of wavefunctions in extra dimensions. The Yukawa couplings are computed as overlap integrals of two Weyl fermions and one complex scalar over the compact dimensions. In the case of Type IIB (or Type I) string theories, the models are T-dual to (orientifolded) Type IIA with D6-branes intersecting at angles. These theories may have phenomenological relevance since particular models with SM group and three quark-lepton generations have been recently constructed. We find that the Yukawa couplings so obtained are described by Riemann ϑ-functions, which depend on the complex structure and Wilson line backgrounds. Different patterns of Yukawa textures are possible depending on the values of these backgrounds. We discuss the matching of these results with the analogous computation in models with intersecting D6-branes. Whereas in the latter case a string computation is required, in our case only field theory is needed.

Subfields: Condensed Matter Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d98c1e76bc120d31f8e4578092ad8f1d681c2c54

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Condensed Matter Physics

1. Ralph Blumenhagen
2. D. Lust
3. Gary Shiu
4. Eran Palti
5. F. Marchesano
6. E. Kiritsis

In Nuclear and High Energy Physics

1. Ralph Blumenhagen
2. Eran Palti
3. D. Lust
4. T. Weigand
5. M. Cvetič
6. F. Marchesano
7. Gary Shiu
8. S. Stieberger

Citations in the corpus

• Non-Abelian discrete gauge symmetries in 4d string models (2012, background): “16) These selection rules were obtained by explicit computation in [31, 32] for magnetized and intersecting brane models, respectively; they were suspected to arise from a discrete symmetry in [34] (see also [35]).”
• MODELS OF PARTICLE PHYSICS FROM TYPE IIB STRING THEORY AND F-THEORY: A REVIEW (2012, background): “Yukawa couplings arise from triple overlaps of the wavefunctions of the participating fields [285].”
• D‐branes in Standard Model building, gravity and cosmology (2003, background): “The effective low energy couplings of such models were also investigated [159]-[165].”
• TOWARD REALISTIC INTERSECTING D-BRANE MODELS (2005, methodology): “Intriguingly, in [134] the three-point function was calculated in the mirror-dual Type IIB theory.”
• Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, methodology): “190), one finds(71) the Yukawa coupling [375, 380]: Y IIB ijk = e Φ4/2 3 ∏”
• The statistics of supersymmetric D-brane models (2004, background): “More detailed physical quantities like Yukawa couplings [46] or soft supersymmetry breaking terms [23] fall into this category.”