Abstract
The geometry of the \( \mathcal{N}=3 \), SO(4)-invariant, AdS4 solution of massive type IIA supergravity that uplifts from the \( \mathcal{N}=3 \) vacuum of D = 4 \( \mathcal{N}=8 \) dyonic ISO(7) supergravity is investigated. Firstly, a D = 4, SO(4)-invariant restricted duality hierarchy is constructed and used to uplift the entire, dynamical SO(4)-invariant sector to massive type IIA. The resulting consistent uplift formulae are used to obtain a new local expression for the \( \mathcal{N}=3 \) AdS4 solution in massive IIA and analyse its geometry. Locally, the internal S6 geometry corresponds to a warped fibration of S2 and a hemisphere of S4. This can be regarded as a warped generalisation of the usual twistor fibration geometry. Finally, the triplet of Killing spinors corresponding to the \( \mathcal{N}=3 \) solution are constructed and shown to obey the massive type IIA Killing spinor equations.
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De Luca, G.B., Monaco, G.L., Macpherson, N.T. et al. The geometry of \( \mathcal{N}=3 \) AdS4 in massive IIA. J. High Energ. Phys. 2018, 133 (2018). https://doi.org/10.1007/JHEP08(2018)133
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DOI: https://doi.org/10.1007/JHEP08(2018)133