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.
Physics of String Flux Compactifications
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We provide a qualitative review of flux compactifications of string theory, focusing on broad physical implications and statistical methods of analysis.
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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.
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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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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.