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Finding all flux vacua in an explicit example

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arxiv 1212.4530 v1 pith:XQTXCFLN submitted 2012-12-18 hep-th astro-ph.CO

Finding all flux vacua in an explicit example

classification hep-th astro-ph.CO
keywords fluxnumbervacuacarryingcyclesexplicitpolynomialsupersymmetric
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We explicitly construct all supersymmetric flux vacua of a particular Calabi-Yau compactification of type IIB string theory for a small number of flux carrying cycles and a given D3-brane tadpole. The analysis is performed in the large complex structure region by using the polynomial homotopy continuation method, which allows to find all stationary points of the polynomial equations that characterize the supersymmetric vacuum solutions. The number of vacua as a function of the D3 tadpole is in agreement with statistical studies in the literature. We calculate the available tuning of the cosmological constant from fluxes and extrapolate to scenarios with a larger number of flux carrying cycles. We also verify the range of scales for the moduli and gravitino masses recently found for a single explicit flux choice giving a K\"ahler uplifted de Sitter vacuum in the same construction.

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  1. Flux Vacua Near the Boundary of Large Complex Structure

    hep-th 2026-07 conditional novelty 6.0

    Near the boundary of large complex structure, the first worldsheet instanton can displace flux vacua significantly while higher instantons stay negligible, and such vacua are common in a bounded two-modulus scan.