Explicit construction of a chiral global embedding of Fibre Inflation with anti-D3 uplift on an h^{1,1}=4 K3-fibered Calabi-Yau, using magnetised D7-branes, a Whitney brane, and O3-planes at a conifold tip, with viable parameter regions identified.
Algorithmically Solving the Tadpole Problem,
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At large complex structure in F-theory, the F-term potential simplifies to V = Z^{AB} ρ_A ρ_B, yielding two families of flux vacua with all complex structure moduli fixed, one with bounded saxion vevs and one with unbounded vevs where N_flux factors into two integers.
Explicit 11D solutions show flux stabilization of T^4/Z2 moduli in EFT does not match the full theory, with non-Lorentz-invariant deformations stabilizing a mix of volume and shape moduli instead.
Explicit lattice computations in weighted Fermat hypersurfaces show symmetric self-dual Hodge classes typically overshoot M2-brane tadpole bounds due to Galois orbits, except at one high h^{1,1} point where the conjecture holds.
citing papers explorer
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Chiral global embedding of Fibre Inflation with $\overline{\rm D3}$ uplift
Explicit construction of a chiral global embedding of Fibre Inflation with anti-D3 uplift on an h^{1,1}=4 K3-fibered Calabi-Yau, using magnetised D7-branes, a Whitney brane, and O3-planes at a conifold tip, with viable parameter regions identified.
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F-theory flux vacua at large complex structure
At large complex structure in F-theory, the F-term potential simplifies to V = Z^{AB} ρ_A ρ_B, yielding two families of flux vacua with all complex structure moduli fixed, one with bounded saxion vevs and one with unbounded vevs where N_flux factors into two integers.
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Lost in Translation: Moduli Stabilization from EFT to Eleven Dimensions
Explicit 11D solutions show flux stabilization of T^4/Z2 moduli in EFT does not match the full theory, with non-Lorentz-invariant deformations stabilizing a mix of volume and shape moduli instead.
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Hodge theory and $G_4$ fluxes in weighted projective spaces: Galois action
Explicit lattice computations in weighted Fermat hypersurfaces show symmetric self-dual Hodge classes typically overshoot M2-brane tadpole bounds due to Galois orbits, except at one high h^{1,1} point where the conjecture holds.