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

References in corpus (7)

• 1/2-BPS states in M theory and defects in the dual CFTs
• Bubbling AdS and droplet descriptions of BPS geometries in IIB supergravity
• Branes, Calibrations and Supergravity
• Various Wrapped Branes from Gauged Supergravities
• Global geometry of the supersymmetric AdS_3/CFT_2 correspondence in M-theory
• IIB backgrounds with five-form flux
• Inverting geometric transitions: explicit Calabi-Yau metrics for the Maldacena-Nunez solutions

Cited by in corpus (3)

• Geometries with Killing Spinors and Supersymmetric AdS Solutions
• Holography of BPS surface operators
• String duals of two-dimensional (4,4) supersymmetric gauge theories