A massive class of $\mathcal{N}=2$ AdS${}_4$ IIA solutions

Abstract

We initiate a classification of $\mathcal{N}=2$ supersymmetric AdS${}_4$ solutions of (massive) type IIA supergravity. The internal space is locally equipped with either an SU(2) or an identity structure. We focus on the SU(2) structure and determine the conditions it satisfies, dictated by supersymmetry. Imposing as an Ansatz that the internal space is complex, we reduce the problem of finding solutions to a Riccati ODE, which we solve analytically. We obtain in this fashion a large number of new families of solutions, both regular as well as with localized O8-planes and conical Calabi--Yau singularities. We also recover many solutions already discussed in the literature.

4 figures, 36 pages. v2: typos fixed

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• Holographic duals of five-dimensional SCFTs on a Riemann surface
• D4-branes wrapped on four-dimensional orbifolds through consistent truncation
• 4d F(4) gauged supergravity and black holes of class $\mathcal{F}$
• Supersymmetric spectroscopy on AdS${}_4\times S^7$ and AdS${}_4\times S^6$
• $\mathcal{N}=(1,1)$ supersymmetric AdS${}_3$ in 10 dimensions
• Generalising G${}_{\text{2}}$ geometry: involutivity, moment maps and moduli
• Minimal $D=4$ truncations of type IIA
• Leaps and bounds towards scale separation
• Oh, wait, O8 de Sitter may be unstable!
• Timelike structures of ten-dimensional supersymmetry
• Marginal deformations from type IIA supergravity
• Mink${}_4\times S^2$ Solutions of 10 and 11 Dimensional Supergravity