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A Landscape of AdS Flux Vacua

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arxiv 1908.11386 v3 pith:ZTQRVQ3Y submitted 2019-08-29 hep-th

A Landscape of AdS Flux Vacua

classification hep-th
keywords vacuafluxlandscapecalabi-yaud6-branesfluxesparticularpolynomials
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We analyse type IIA Calabi-Yau orientifolds with background fluxes and D6-branes. Rewriting the F-term scalar potential as a bilinear in flux-axion polynomials yields a more efficient description of the Landscape of flux vacua, as they are invariant under the discrete shift symmetries of the 4d effective theory. In particular, expressing the extremisation conditions of the scalar potential in terms of such polynomials allows for a systematic search of vacua. We classify families of N=0 Minkowski, N=1 AdS and N=0 AdS flux vacua, extending previous findings in the literature to the Calabi-Yau context. We compute the spectrum of flux-induced masses for some of them and show that they are perturbatively stable, and in particular find a branch of N=0 AdS vacua where tachyons are absent. Finally, we extend this Landscape to the open string sector by including mobile D6-branes and their fluxes.

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Cited by 4 Pith papers

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    hep-th 2021-05 unverdicted novelty 7.0

    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 unb...

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    Holographic constraint on AdS vacua is violated for Z2 orbifolds but restored by non-abelian extensions, implying O-planes cannot wrap cycles in distinct homology classes.

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