9 research outputs found
Testing Swampland Conjectures with Machine Learning
We consider Type IIB compactifications on an isotropic torus threaded
by geometric and non geometric fluxes. For this particular setup we apply
supervised machine learning techniques, namely an artificial neural network
coupled to a genetic algorithm, in order to obtain more than sixty thousand
flux configurations yielding to a scalar potential with at least one critical
point. We observe that both stable AdS vacua with large moduli masses and small
vacuum energy as well as unstable dS vacua with small tachyonic mass and large
energy are absent, in accordance to the Refined de Sitter Conjecture. Moreover,
by considering a hierarchy among fluxes, we observe that perturbative solutions
with small values for the vacuum energy and moduli masses are favored, as well
as scenarios in which the lightest modulus mass is much greater than the
corresponding AdS vacuum scale. Finally we apply some results on Random Matrix
Theory to conclude that the most probable mass spectrum derived from this
string setup is that satisfying the Refined de Sitter and AdS scale
conjectures.Comment: 30 pages, 14 Figures. (v2) References adde
Rational F-Theory GUTs without exotics
We construct F-theory GUT models without exotic matter, leading to the MSSM
matter spectrum with potential singlet extensions. The interplay of engineering
explicit geometric setups, absence of four-dimensional anomalies, and realistic
phenomenology of the couplings places severe constraints on the allowed local
models in a given geometry. In constructions based on the spectral cover we
find no model satisfying all these requirements. We then provide a survey of
models with additional U(1) symmetries arising from rational sections of the
elliptic fibration in toric constructions and obtain phenomenologically
appealing models based on SU(5) tops. Furthermore we perform a bottom-up
exploration beyond the toric section constructions discussed in the literature
so far and identify benchmark models passing all our criteria, which can serve
as a guideline for future geometric engineering.Comment: 27 Pages, 1 Figur