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In the standard model of particle physics, the Yukawa couplings encode the interaction between the fundamental fermion fields and the Higgs field, and thus, via the Higgs mechanism, the masses of the fermion field after electroweak symmetry breaking.
In intersecting D-brane models Yukawa couplings are encoded by worldsheet instantons of open strings stretching between the intersecting D-branes (see Marchesano 03, Section 7.5). Mathematically this is encoded by derived hom-spaces in a Fukaya category (see Marchesano 03, Section 7.5).
table grabbed from Marchesano 03
See also
On computation of Yukawa coupling in heterotic string theory:
and in intersecting D-brane models of type II string theory via Fukaya categories:
D. Cremades, Luis Ibáñez, Fernando Marchesano, Yukawa couplings in intersecting D-brane models, JHEP 0307 (2003) 038 (arXiv:hep-th/0302105)
Fernando Marchesano, section 7 of Intersecting D-brane Models (arXiv:hep-th/0307252)
Van E. Mayes, All Fermion Masses and Mixings in an Intersecting D-brane World (arXiv:1902.00983)
Last revised on February 6, 2019 at 03:54:15. See the history of this page for a list of all contributions to it.