Fermion Masses and Mixings in String Theory with Dirac Neutrinos

Analyzing the supersymmetric Pati-Salam landscape on a ${\mathbb{T}}^6\mathrm{/}({\mathbb{Z}}_2\times {\mathbb{Z}}_2)$ orientifold in IIA string theory, we have found only two models that accurately account for all standard model fermion masses and mixings. The models are dual to each other under the exchange of two SU(2) sectors and feature 12 adjoint scalars, the maximum number allowed in the landscape, whose linear combination yields the two light Higgs eigenstates. Dirac neutrino-masses in normal ordering $(50.6,10.6,6.2)\pm 0.1$~meV satisfying both the experimental as well as swampland constraints.