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Type IIB Flux Vacua and Tadpole Cancellation

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WILEY-V C H VERLAG GMBH
DOI: 10.1002/prop.201900065

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moduli stabilization; string theory

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We consider flux vacua for type IIB orientifold compactifications and study their interplay with the tadpole-cancellation condition. As a concrete example we focus on T6/Z2xZ2, for which we find that solutions to the F-term equations at weak coupling, large complex structure and large volume require large flux contributions. Such contributions are however strongly disfavored by the tadpole-cancellation condition. We furthermore find that solutions which stabilize moduli in this perturbatively-controlled regime are only a very small fraction of all solutions, and that the space of solutions is not homogenous but shows characteristic void structures and vacua concentrated on submanifolds.

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