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.
Fully stabilized Minkowski vacua in the 2 6 Landau-Ginzburg model
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Holographic constraint on AdS vacua is violated for Z2 orbifolds but restored by non-abelian extensions, implying O-planes cannot wrap cycles in distinct homology classes.
Casimir-stabilized AdS vacua with parametric scale separation in supergravity exhibit perturbative and non-perturbative instabilities under deformations.
The paper reviews how higher-order flux superpotential terms stabilize massless fields in specific Landau-Ginzburg models, yielding isolated Minkowski vacua that test tadpole and massless Minkowski conjectures.
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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.
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Broken and restored: a holographic constraint for AdS vacua with orbifolds
Holographic constraint on AdS vacua is violated for Z2 orbifolds but restored by non-abelian extensions, implying O-planes cannot wrap cycles in distinct homology classes.
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Instabilities in scale-separated Casimir vacua
Casimir-stabilized AdS vacua with parametric scale separation in supergravity exhibit perturbative and non-perturbative instabilities under deformations.
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AI usage in string theory, a case study: String Vacua in the Interior of Moduli Space
The paper reviews how higher-order flux superpotential terms stabilize massless fields in specific Landau-Ginzburg models, yielding isolated Minkowski vacua that test tadpole and massless Minkowski conjectures.