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Enumerating Flux Vacua with Enhanced Symmetries

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arxiv hep-th/0411061 v2 pith:GJZBL7V6 submitted 2004-11-04 hep-th

classification hep-th
keywords vacuafluxmodelsmodulipropertiesquestionsspacesymmetries
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We study properties of flux vacua in type IIB string theory in several simple but illustrative models. We initiate the study of the relative frequencies of vacua with vanishing superpotential W=0 and with certain discrete symmetries. For the models we investigate we also compute the overall rate of growth of the number of vacua as a function of the D3-brane charge associated to the fluxes, and the distribution of vacua on the moduli space. The latter two questions can also be addressed by the statistical theory developed by Ashok, Denef and Douglas, and our results are in good agreement with their predictions. Analysis of the first two questions requires methods which are more number-theoretic in nature. We develop some elementary techniques of this type, which are based on arithmetic properties of the periods of the compactification geometry at the points in moduli space where the flux vacua are located.

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Cited by 3 Pith papers

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

  1. Flux Vacua Near the Boundary of Large Complex Structure

    hep-th 2026-07 conditional novelty 6.0 of 10

    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.

  2. When minor issues matter: symmetries, pluralism, and polarization in similarity-based opinion dynamics

    physics.soc-ph 2026-03 unverdicted novelty 6.0 of 10

    Even an arbitrarily small-weight issue can destabilize stable opinion states and massively slow convergence; concentrating importance on few issues raises polarization, while spreading it promotes pluralism.

  3. Solving inverse problems of Type IIB flux vacua with conditional generative models

    hep-th 2025-06 conditional novelty 6.0 of 10

    A conditional variational autoencoder trained on known Type IIB flux vacua can generate new physically valid flux vectors with targeted superpotential values faster than Metropolis sampling.

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