Explicit scale-separated dS5 maximum in M-theory on a 6D Riemann-flat manifold with vacuum energy 10^{-8} in Planck units, obtained via Casimir energies and fluxes.
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Candidate de sitter vacua,
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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.
Introduces dualGNN, an autoregressive message-passing GNN using signed circuits to sample uniform fine regular triangulations of lattice polytopes, applied to Calabi-Yau threefolds at h^{1,1}=86 and 128.
In a wafer-modified Bousso-Polchinski model, 99.95% of the 532 million Calabi-Yau fourfold configurations in the Schöller-Skarke database allow vacuum energy spacings of 10^{-120} or smaller, with membrane nucleation transitions dominated by giant flux leaps under thin-wall approximations.
Phenomenological late-time vacuum-tunneling models are fit to DESI DR2, supernova, and CMB data, allowing up to 50% vacuum-energy drop for z_t < 1 and a preferred z_t ~7 model that converts ~10% dark matter while easing cosmological tensions.
QCD axions constrain F-theory base threefolds to have rigid or flux-rigidified divisors, yielding typical axion masses around 10^{-9} eV and decay constants near 10^{15} GeV in allowed regions.
Perturbative string theory forbids de Sitter times closed manifold solutions under the assumption that the Euclidean sphere partition function receives a nonzero 1/G_N contribution.
Casimir-stabilized AdS vacua with parametric scale separation in supergravity exhibit perturbative and non-perturbative instabilities under deformations.
A roadmap paper describing potential applications of numerical Ricci-flat Calabi-Yau metrics to heterotic string phenomenology and mathematical questions in special geometry.
String theory imposes constraints on dark energy but permits various construction attempts for de Sitter vacua and single-field exponential quintessence models despite obstructions.
citing papers explorer
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An M-theory dS maximum from Casimir energies on Riemann-flat manifolds
Explicit scale-separated dS5 maximum in M-theory on a 6D Riemann-flat manifold with vacuum energy 10^{-8} in Planck units, obtained via Casimir energies and fluxes.
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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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Sampling Triangulations and Calabi-Yau Threefolds with Autoregressive GNNs
Introduces dualGNN, an autoregressive message-passing GNN using signed circuits to sample uniform fine regular triangulations of lattice polytopes, applied to Calabi-Yau threefolds at h^{1,1}=86 and 128.
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Small Vacuum Energy and Tunneling in a Modified Bousso-Polchinski Model
In a wafer-modified Bousso-Polchinski model, 99.95% of the 532 million Calabi-Yau fourfold configurations in the Schöller-Skarke database allow vacuum energy spacings of 10^{-120} or smaller, with membrane nucleation transitions dominated by giant flux leaps under thin-wall approximations.
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Late-time Quantum Vacuum Decay and its Cosmological Implications
Phenomenological late-time vacuum-tunneling models are fit to DESI DR2, supernova, and CMB data, allowing up to 50% vacuum-energy drop for z_t < 1 and a preferred z_t ~7 model that converts ~10% dark matter while easing cosmological tensions.
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Constraining F-theory Model Building with QCD Axions
QCD axions constrain F-theory base threefolds to have rigid or flux-rigidified divisors, yielding typical axion masses around 10^{-9} eV and decay constants near 10^{15} GeV in allowed regions.
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de Sitter in String Theory vs. Gibbons & Hawking
Perturbative string theory forbids de Sitter times closed manifold solutions under the assumption that the Euclidean sphere partition function receives a nonzero 1/G_N contribution.
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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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What to do with a Ricci-flat Calabi--Yau metric?
A roadmap paper describing potential applications of numerical Ricci-flat Calabi-Yau metrics to heterotic string phenomenology and mathematical questions in special geometry.
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Dark energy from string theory: an introductory review
String theory imposes constraints on dark energy but permits various construction attempts for de Sitter vacua and single-field exponential quintessence models despite obstructions.