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<p>We present minimally supersymmetric AdS<sub>4</sub> flux vacua derived from massive type IIA compactified on <i>T</i><sup>6</sup>/ℤ<sub>3</sub> × ℤ<sub>3</sub> orbifold, characterized by unconstrained fluxes with general scalings. We discover anisotropic scaling solutions in which scale separation is realized in the supergravity limit, and the subvolumes of the internal space become large and anisotropic in this limit. Additionally, we identify further regimes in which subvolumes either shrink or remain constant, while scale separation is either broken or realized for large values of the unconstrained fluxes. Then, we employ a probe 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 D4-brane to calculate the distance between anisotropic 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 unconstrained flux scalings.</p>

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Anisotropic scale-separated AdS4 flux vacua

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  • 发表日期：

    2025年4月18日

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  • George Tringas

摘要

We present minimally supersymmetric AdS4 flux vacua derived from massive type IIA compactified on T6/ℤ3 × ℤ3 orbifold, characterized by unconstrained fluxes with general scalings. We discover anisotropic scaling solutions in which scale separation is realized in the supergravity limit, and the subvolumes of the internal space become large and anisotropic in this limit. Additionally, we identify further regimes in which subvolumes either shrink or remain constant, while scale separation is either broken or realized for large values of the unconstrained fluxes. Then, we employ a probe 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 D4-brane to calculate the distance between anisotropic 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 unconstrained flux scalings.