A landscape of AdS flux vacua

Abstract

Abstract 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 extremisa­ tion conditions of the scalar potential in terms of such polynomials allows for a systematic search of vacua. We classify families of = 0 Minkowski, $$ \mathcal{N} $$ N = 1 AdS and $$ \mathcal{N} $$ N = 0 AdS flux vacua, extending previous $$ \mathcal{N} $$ N 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 $$ \mathcal{N} $$ 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.