AdS3 solutions in massive IIA with small $$ \mathcal{N} $$ = (4, 0) supersymmetry

Abstract

We study AdS 3 × S 2 solutions in massive IIA that preserve small 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 AdS 3 ×S 2 ×M 4 ×R. For the first, M 4 =CY 2 and we find a generalisation a D4-D8 system involving possible additional branes. For the second, M 4 need only be Kahler, and we find a generalisation of the T-dual of solutions based on D3branes 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 AdS 3 × S 2 × CY 2 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 AdS 3 × S 3 × M 4 solutions in IIB. 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 CY 3 that includes non trivial 3-form flux.

Spin 2 fluctuations in 1/4 BPS AdS3/CFT2

“…In this section we review the class I geometries of [26] as well as the proposed dual field theories.…”

“…Here Φ is the dilaton, H the NS three-form and the metric is given in string frame. H 2 is a two form whose explicit form was given in [26]. The functions u,ĥ 4 , h 8 are functions only of the ρ coordinate.…”

“…This class of solutions is independent of the form of u,ĥ 4 and h 8 and in this sense they are "universal". Moreover, they are the solutions with minimal M for a given l, saturating the bound (26), and therefore correspond to "minimal" solutions.…”

“…The bound (26) for the mass of spin 2 excitations will prove to be very important when discussing quantum field theory implications. In particular, anticipating the discussion in Section 5, the spin 2 fluctuations considered are dual to operators in the field theory with dimension ∆ given by the usual AdS/CFT formula, M 2 = ∆(∆ − 2).…”

AdS3 solutions with from S3 × S3 fibrations

“…Exceptions to this trend include a classification of purely NS  = (2, 2) solutions in [25], large  = (4, 0) in Mtheory [26] and massive IIA, [36] and small  = (4, 0) in massive IIA. [27][28][29][30] These examples, while certainly of great merit, still only cover a small subset of possible superconfromal algebras -see [31] for a complete list that may be embedded into ten-and eleven-dimensional supergravity 1 . Rather less "vanilla" options, were presented in [33] where solutions with F(4) and G(3) supergroups were constructed.…”