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On the Search for Low $W_0$

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arxiv 2108.04266 v1 pith:6HU5FZC2 submitted 2021-08-09 hep-th hep-ph

classification hep-thhep-ph
keywords vacuaexamplesflatfluxperturbativelystatisticaltypeused
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The magnitude of the vacuum expectation value of the Gukov-Vafa-Witten superpotential $|W_0|$ plays a central role in the phenomenology of type IIB flux compactifications. Recent analytical constructions have shown that perturbatively flat vacua can be used to obtain very low values of $|W_0|$. We present systematic algorithms to carry out exhaustive numerical searches for such vacua. We also analyse them in the statistical context, as part of the entire ensemble of type IIB flux vacua at low $|W_0|$. Our preliminary analysis indicates that these perturbatively flat vacua are statistically sparse in the whole set of vacua at low $|W_0|$ as calculated by Denef and Douglas. Two-moduli examples are used to illustrate these more general findings in specific settings. We find that these simple cases are good examples for existence proofs but they do not feature a large statistical tuning freedom for phenomenological applications.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Dimensional Reduction and K\"ahler Metric for Metric Moduli in Imaginary Self-Dual Flux

    hep-th 2025-01 conditional novelty 7.0 of 10

    A 10D supergravity reduction derives the 4D moduli space metric for Kähler moduli and, for the first time, for complex structure flat directions in warped type IIB flux compactifications.

  2. Deep observations of the Type IIB flux landscape

    hep-th 2025-01 conditional novelty 6.0 of 10

    An enumeration algorithm for Type IIB flux vacua yields millions of explicit vacua in a two-modulus Calabi-Yau, exposing deviations from statistical predictions and a vacuum with |W0| about 5.5 x 10^-5.

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