2019/08/31 by Yolanda Lozano, Niall T. Macpherson, Carlos Nunez +1 · 4 citations
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Base (topology) #Black Holes and Theoretical Physics #Bounded function #Brane #Fibered knot #Geometry and complex manifolds #Plane (geometry) #Supersymmetry #hep-th
paper · pdf · doi:10.1007/jhep01(2020)129
v3: 42 pages + appendices, typos corrected
openalex created_date 2019/09/05 · openalex publication_date 2020/01/21 · arxiv created 2020/12/23 · arxiv updated 2020/12/24 · openalex updated_date 2026/08/05
A bstract We study AdS 3 x S 2 solutions in massive IIA that preserve small N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = (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 x S 2 x M 4 x ℝ. For the first, M 4 =CY 2 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 AdS 3 x S 2 x 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 x S 3 x M 4 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 CY 3 that includes non trivial 3-form flux.