The geometry of N=3 AdS4 in massive IIA
The geometry of the ${\cal N} = 3$, SO(4)--invariant, AdS$_4$ solution of massive type IIA supergravity that uplifts from the ${\cal N} = 3 $ vacuum of $D=4$ ${\cal N} = 8$ 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 ${\cal N} = 3 $ AdS$_4$ solution in massive IIA and analyse its geometry. Locally, the internal $S^6$ geometry corresponds to a warped fibration of $S^2$ and a hemisphere of $S^4$. This can be regarded as a warped generalisati…
All N=(8,0) AdS3 solutions in 10 and 11 dimensions
We classify AdS(3) solutions preserving N = (8, 0) supersymmetry in ten and eleven dimensions and find the local form of each of them. These include the AdS(3)xS(6) solution of [1] and the embeddings of AdS(3) into AdS(4)xS(7), AdS(5)xS(5), AdS(7)/Z(k)xS(4) and its IIA reduction within AdS(7). More interestingly we find solutions preserving the superconformal algebras f4, su(1,1|4), osp(4*|4) on certain squashings of the 7-sphere. These solutions asymptote to AdS(4)xS(7) and are promising candidates for holographic duals to defects in Chern-Simons matter theories.