Supersymmetric wrapped membranes, AdS(2) spaces, and bubbling geometries

Abstract

We perform a systematic study, in eleven dimensional supergravity, of the geometry of wrapped brane configurations admitting $Ad{S}_2$ limits. Membranes wrapping holomorphic curves in Calabi-Yau manifolds are found to exhibit some novel features; in particular, for fourfolds or threefolds, the gravitational effect of the branes on the overall transverse space is only weakly restricted by the kinematics of the Killing spinor equation. We also study the $Ad{S}_2$ limits of the wrapped brane supergravity descriptions. For membranes wrapped in a two-fold, we derive a set of $Ad{S}_2$ supersymmetry conditions which upon analytic continuation coincide precisely with those for the half-BPS bubbling geometries of LLM. From membranes wrapped in a three-fold, we obtain a set of $Ad{S}_2$ supersymmetry conditions which upon analytic continuation describe a class of spacetimes which we identify as quarter-BPS bubbling geometries in M-theory, with $SO(4)\times SO(3)\times U(1)$ isometry in Riemannian signature. We also study fivebranes wrapping a special lagrangian five-cycle in a fivefold, in the presence of membranes wrapping holomorphic curves, and employ the wrapped brane supersymmetry conditions to derive a classification of the general minimally supersymmetric $Ad{S}_2$ geometry in M-theory.

1+39 pages

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Cited by in corpus (24)

• Consistent Kaluza-Klein Reductions for General Supersymmetric AdS Solutions
• A Universal Counting of Black Hole Microstates in AdS${}_4$
• 1/2-BPS states in M theory and defects in the dual CFTs
• Two-dimensional SCFTs from D3-branes
• New $Ad{S}_3\times S^2$ T-duals with $\mathcal{N}=(0,4)$ supersymmetry
• AdS Solutions Through Transgression
• 3D supergravity from wrapped M5-branes
• Geometries with Killing Spinors and Supersymmetric AdS Solutions
• 3D Supergravity from wrapped D3-branes
• Supersymmetric AdS3 X S2 M-theory geometries with fluxes
• Global geometry of the supersymmetric AdS_3/CFT_2 correspondence in M-theory
• 1/4-BPS M-theory bubbles with SO(3) x SO(4) symmetry
• Fibred GK geometry and supersymmetric $AdS$ solutions
• A tale of (M)2 twists
• AdS_3 x S^3 x S^3 x S^1 Solutions of Type IIB String Theory
• Aspects of AdS${}_2$ classification in M-theory: Solutions with mesonic and baryonic charges
• Discriminating 4D supersymmetry from its 5D warped version
• M2-branes wrapped on a topological disk
• The Backreacted Kähler Geometry of Wrapped Branes
• The Near-Horizon Geometry of Supersymmetric Rotating AdS${}_4$ Black Holes in M-theory
• Static M-horizons
• Beyond LLM in M-theory
• Inverting geometric transitions: explicit Calabi-Yau metrics for the Maldacena-Nunez solutions
• Spacetime singularity resolution by M-theory fivebranes: calibrated geometry, Anti-de Sitter solutions and special holonomy metrics