Anisotropic scale-separated AdS$_4$ flux vacua

Abstract

We present minimally supersymmetric AdS$_4$ flux vacua derived from massive type IIA compactified on $T^6/\mathbb{Z}_3\times \mathbb{Z}_3$ orbifold, characterized by unconstrained fluxes with general scaling. We discover anisotropic scaling solutions where scale separation is realized in the supergravity limit and the subvolumes of the internal space become large and anisotropic for large values of unconstrained fluxes. Additionally, we identify regimes where subvolumes are either shrinking or remain constant while scale separation is either broken or realized. Then we employ a probe anti-D4-brane to interpolate between vacua, finding that it interpolates through the regimes we previously identified. Finally, we utilize an open string modulus of the anti-D4-brane to calculate the distance between vacua for the regime where scale separation is realized in the supergravity limit. We show the dependence of both the geodesic distance and the distance conjecture parameter on the flux scaling.