AdS spacetimes from wrapped D3-branes

Abstract

We derive a geometrical characterisation of a large class of AdS_3 and AdS_2 supersymmetric spacetimes in IIB supergravity with non-vanishing five-form flux using G-structures. These are obtained as special cases of a class of supersymmetric spacetimes with an ${\mathbb{R}}^{1,1}$ or $\mathbb{R}$ (time) factor that are associated with D3-branes wrapping calibrated 2- or 3- cycles, respectively, in manifolds with SU(2), SU(3), SU(4) and G_2 holonomy. We show how two explicit AdS solutions, previously constructed in gauged supergravity, satisfy our more general G-structure conditions. For each explicit solution we also derive a special holonomy metric which, although singular, has an appropriate calibrated cycle. After analytic continuation, some of the classes of AdS spacetimes give rise to known classes of BPS bubble solutions with $\mathbb{R}\times SO(4)\times SO(4)$, $\mathbb{R}\times SO(4)\times U(1)$, and $\mathbb{R}\times SO(4)$ symmetry. These have 1/2, 1/4 and 1/8 supersymmetry, respectively. We present a new class of 1/8 BPS geometries with $\mathbb{R}\times SU(2)$ symmetry, obtained by analytic continuation of the class of AdS spacetimes associated with D3-branes wrapped on associative three-cycles.

1+30 pages; v2, references added; v3, typos corrected, reference added

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• 3D supergravity from wrapped M5-branes
• Geometries with Killing Spinors and Supersymmetric AdS Solutions
• 3D Supergravity from wrapped D3-branes
• Supergravity dual of c-extremization
• Supersymmetric AdS3 X S2 M-theory geometries with fluxes
• Holographic Uniformization
• String duals of two-dimensional (4,4) supersymmetric gauge theories
• Holography of BPS surface operators
• Fibred GK geometry and supersymmetric $AdS$ solutions
• AdS_3 x S^3 x S^3 x S^1 Solutions of Type IIB String Theory
• Equivariant localization for AdS/CFT
• Wrapped Brane Solutions in Romans $F(4)$ Gauged Supergravity
• Generalized geometry of two-dimensional vacua
• Self-duality of the D1-D5 near-horizon
• $\mathcal{N}=(1,1)$ supersymmetric AdS${}_3$ in 10 dimensions
• The Backreacted Kähler Geometry of Wrapped Branes
• Attractors, black objects, and holographic RG flows in 5d maximal gauged supergravities
• Superconformal Symmetry in the Kaluza-Klein Spectrum of Warped AdS(3)
• Gravity Dual of Two-Dimensional $\mathcal{N}=(2,2{)}^{\ast }$ Supersymmetric Yang-Mills Theory and Integrable Models