Comments on AdS2 solutions of D=11 Supergravity

Abstract

We study the supersymmetric solutions of 11-dimensional supergravity with a factor of $Ad{S}_2$ made of M2-branes. Such solutions can provide gravity duals of superconformal quantum mechanics, or through double Wick rotation, the generic bubbling geometry of M-theory which are 1/16-BPS. We show that, when the internal manifold is compact, it should take the form of a warped U(1)-fibration over an 8-dimensional Kahler space.

11 pages, no figure, JHEP3.cls

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• AdS Solutions Through Transgression
• Geometries with Killing Spinors and Supersymmetric AdS Solutions
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• Partition Functions for Quantum Gravity, Black Holes, Elliptic Genera and Lie Algebra Homologies
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• Supersymmetric wrapped membranes, AdS(2) spaces, and bubbling geometries
• AdS_3 x S^3 x S^3 x S^1 Solutions of Type IIB String Theory
• AdS spacetimes from wrapped D3-branes
• Equivariant localization for AdS/CFT
• Index theory and dynamical symmetry enhancement of M-horizons
• Localization and Attraction
• Aspects of AdS${}_2$ classification in M-theory: Solutions with mesonic and baryonic charges
• Supersymmetric quantum criticality supported by baryonic charges
• Comments on supersymmetric solutions of minimal gauged supergravity in five dimensions
• Wrapped Brane Solutions in Romans $F(4)$ Gauged Supergravity
• Geometry and supersymmetry of heterotic warped flux AdS backgrounds
• Global half-BPS $Ad{S}_2\times S^6$ solutions in Type IIB
• Comments on $Ad{S}_2$ solutions from M2-branes on complex curves and the backreacted Kähler geometry
• On Type IIA AdS${}_3$ solutions and massive GK geometries
• M2-branes wrapped on a topological disk
• The Backreacted Kähler Geometry of Wrapped Branes
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• The Near-Horizon Geometry of Supersymmetric Rotating AdS${}_4$ Black Holes in M-theory
• M-Horizons
• Static M-horizons
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• Beyond LLM in M-theory
• Uplifting dyonic AdS${}_4$ black holes on seven-dimensional Sasaki-Einstein manifolds
• Constant maps in equivariant topological strings and geometric modeling of fluxes
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• AdS Solutions in Gauge Supergravities and the Global Anomaly for the Product of Complex Two-Cycles
• The TCFHs of D=11 AdS backgrounds and hidden symmetries
• Spacetime singularity resolution by M-theory fivebranes: calibrated geometry, Anti-de Sitter solutions and special holonomy metrics
• Kahler-Einstein and Kahler scalar flat supermanifolds