A Supersymmetric and Smooth Compactification of M-theory to AdS(5)

Abstract

We obtain smooth M-theory solutions whose geometry is a warped product of AdS_5 and a compact internal space that can be viewed as an S^4 bundle over S^2. The bundle can be trivial or twisted, depending on the even or odd values of the two diagonal monopole charges. The solution preserves N=2 supersymmetry and is dual to an N=1 D=4 superconformal field theory, providing a concrete framework to study the AdS_5/CFT_4 correspondence in M-theory. We construct analogous embeddings of AdS_4, AdS_3 and AdS_2 in massive type IIA, type IIB and M-theory, respectively. The internal spaces have generalized holonomy and can be viewed as S^n bundles over S^2 for n=4, 5 and 7. Surprisingly, the dimensions of spaces with generalized holonomy includes D=9. We also obtain a large class of solutions of AdS\times H^2.

Latex, 12 pages, references added, incorrect statement removed

References in corpus (2)

• Hidden Spacetime Symmetries and Generalized Holonomy in M-theory
• Supersymmetric Domain Walls and Strings in D=5 gauged Supergravity coupled to Vector Multiplets

Cited by in corpus (28)

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• From AdS Black Holes to Supersymmetric Flux-branes
• 3D supergravity from wrapped M5-branes
• Interpolating from AdS_(D-2) X S^2 to AdS_D
• 3D Supergravity from wrapped D3-branes
• $\mathcal{N}=2$ consistent truncations from wrapped M5-branes
• New D=6, N=(1,1) Gauged Supergravity with Supersymmetric (Minkowski)_4 X S^2 Vacuum
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• Flowing from $Ad{S}_5$ to $Ad{S}_3$ with $T^{1,1}$
• AdS Black Holes from Duality in Gauged Supergravity
• Warped Ricci-flat reductions
• Comments on $Ad{S}_2$ solutions from M2-branes on complex curves and the backreacted Kähler geometry
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• Wilson lines for AdS_5 black strings
• Twisted compactification of N=2 5D SCFTs to three and two dimensions from F(4) gauged supergravity
• Warped AdS${}_3$, dS${}_3$ and flows from $\mathcal{N}=(0,2)$ SCFTs
• All supersymmetric solutions of 3D U(1)${}^3$ gauged supergravity
• Magnetically-charged supersymmetric flows of gauged $\mathcal{N}=8$ supergravity in five dimensions
• Marginal Deformations of Non-Relativistic Field Theories
• De Sitter Bounces
• New Solution of D=11 Supergravity on S^7 from D=4
• From de Sitter to de Sitter