AdS${}_2$ from Type IIA on weak G${}_2$ manifolds

Abstract

We present and study supersymmetric warped ${\mathrm{AdS}}_2\times {\mathrm{M}}_7\times I$ solutions of Type IIA supergravity, where M${}_7$ is a weak G${}_2$ holonomy manifold. Locally, the solutions are characterized by a cubic polynomial. We distinguish two branches, Branch 1 and Branch 2, and analyze their global properties, taking flux quantization into account. At the endpoints of the interval $I$ they exhibit either OF1-plane or O8/D8 type of singularities with Branch 1 allowing also for a Spin(7) cone. In the case of zero Romans mass, Branch 1 uplifts to eleven dimensions to ${\mathrm{AdS}}_4\times {\mathrm{M}}_7$ whereas Branch 2 uplifts to warped ${\mathrm{AdS}}_3\times {\mathrm{M}}_7\times I$ with OM2-plane type of singularities.

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