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.

arXiv comment1+39 pages

References in corpus (46)

• Supergravity description of field theories on curved manifolds and a no go theorem
• Bubbling AdS space and 1/2 BPS geometries
• Towards the large N limit of pure N=1 super Yang Mills
• All supersymmetric solutions of minimal supergravity in five dimensions
• An Infinite Family of Superconformal Quiver Gauge Theories with Sasaki-Einstein Duals
• The Geometry of D=11 Killing Spinors
• G-Structures and Wrapped NS5-Branes
• Supersymmetric AdS_5 solutions of M-theory
• All supersymmetric solutions of minimal supergravity in six dimensions
• All supersymmetric solutions of minimal gauged supergravity in five dimensions
• M-Fivebranes Wrapped on Supersymmetric Cycles
• G-Structures, Fluxes and Calibrations in M-Theory
• The Geometry of D=11 Null Killing Spinors
• The spinorial geometry of supersymmetric backgrounds
• Fivebranes Wrapped On Associative Three-Cycles
• The general form of supersymmetric solutions of N=(1,0) U(1) and SU(2) gauged supergravities in six dimensions
• Membranes Wrapped on Holomorphic Curves
• The supersymmetric configurations of N=2, d=4 supergravity coupled to vector supermultiplets
• Localized intersections of M5-branes and four-dimensional superconformal field theories
• AdS spacetimes from wrapped M5 branes
• The spinorial geometry of supersymmetric IIB backgrounds
• M-Fivebranes Wrapped on Supersymmetric Cycles II
• The G_2 spinorial geometry of supersymmetric IIB backgrounds
• Supersymmetric AdS_3 solutions of type IIB supergravity
• Comments on AdS2 solutions of D=11 Supergravity
• Brane Resolution Through Transgression
• New supersymmetric AdS_3 solutions
• All the supersymmetric solutions of N=1,d=5 ungauged supergravity
• Systematics of M-theory spinorial geometry
• Supersymmetric solutions of N=2 d=4 sugra: the whole ungauged shebang
• Systematics of IIB spinorial geometry
• All the supersymmetric configurations of N=4,d=4 supergravity
• M-theory compactification, fluxes and AdS_4
• Classification of Supersymmetric Flux Vacua in M Theory
• Refining G-structure classifications
• N=1 M5-brane geometries
• Calibrations and Fayyazuddin-Smith Spacetimes
• Timelike Killing spinors in seven dimensions
• Supergravity M5-branes wrapped on Riemann surfaces and their QFT duals
• Null structure groups in eleven dimensions
• Classification of supersymmetric spacetimes in eleven dimensions
• The geometry of extended null supersymmetry in M-theory
• Eight-manifolds with G-structure in eleven dimensional supergravity
• M2-branes wrapped on holomorphic curves
• The geometry of wrapped M5-branes in Calabi-Yau 2-folds
• Calibrations, Torsion Classes and Wrapped M-Branes

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