Abstract
We study AdS3 x S 2 solutions in massive IIA that preserve small mathcal{N} = (4, 0) supersymmetry in terms of an SU(2)-structure on the remaining internal space. We find two new classes of solutions that are warped products of the form AdS3 x S2 x M4 x ℝ. For the first, M4=CY2 and we find a generalisation of a D4-D8 system involving possible additional branes. For the second, M4 need only be Kahler, and we find a generalisation of the T-dual of solutions based on D3-branes wrapping curves in the base of an elliptically fibered Calabi-Yau 3-fold. Within these classes we find many new locally compact solutions that are foliations of AdS3 x S2 x CY2 over an interval, bounded by various D brane and O plane behaviours. We comment on how these local solutions may be used as the building blocks of infinite classes of global solutions glued together with defect branes. Utilising T-duality we find two new classes of AdS3 x S3 x M4 solutions in liB. The first backreacts D5s and KK monopoles on the D1-D5 near horizon. The second is a generalisation of the solutions based on D3-branes wrapping curves in the base of an elliptically fibered CY3 that includes non trivial 3-form flux.
Highlights
The canonical example of AdS3 geometry is the near horizon limit of D1 and D5 branes [4] which gives rise to an AdS3 × S3 × CY2 geometry realising small N = (4, 4) superconformal symmetry
We study AdS3 × S2 solutions in massive IIA that preserve small N = (4, 0) supersymmetry in terms of an SU(2)-structure on the remaining internal space
In this work we shall focus on small N = (4, 0) in massive IIA, we will make no restriction on the allowed fluxes, though we will make some assumptions
Summary
Supersymmetric solutions of type II supergravity come equipped with associated MajoranaWeyl Killing spinors ǫ1, ǫ2, that ensure the vanishing of the dilatino and gravitino variations. The remaining factors v± are auxiliary vectors that are required to make ǫ1,2 ∈ Cliff(1, 9) as we decompose in terms of spinors in 3 and 7 dimensions They take care of 10 dimensional chirality, so the upper/lower signs are taken in IIA/B. Since the spinors on AdS3 are charged under SL(2) we manifestly realise the bosonic sub-algebra of small N = (4, 0) superconformal symmetry (2.1). While (2.18)–(2.19) do constrain the 5 dimensional spinors somewhat, they will still lead to many branching possibilities, many of which will have superconformal algebras for which small N = (4, 0) is only a subgroup To mitigate this issue, for the rest of this paper we will constrain our focus to the particular case where M5 supports. We derive necessary and sufficient geometric conditions for supersymmetry when M5 supports an SU(2)-structure
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
