Warped Ricci-flat reductions

Abstract

We present a simple class of warped-product vacuum (Ricci-flat) solutions to ten and eleven-dimensional supergravity, where the internal space is flat and the warp factor supports de Sitter (dS) and anti-de Sitter (AdS) vacua in addition to trivial Minkowski vacua. We outline the construction of consistent Kaluza-Klein (KK) reductions and show that, although our vacuum solutions are non-supersymmetric, these are closely related to the bosonic part of well-known maximally supersymmetric reductions on spheres. We comment on the stability of our solutions, noting that (A)dS${}_3$ vacua pass routine stability tests.

12 pages, 2 figures

References in corpus (55)

• An Alternative to Compactification
• de Sitter Vacua in String Theory
• The dS/CFT Correspondence
• Supergravity description of field theories on curved manifolds and a no go theorem
• Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications
• All supersymmetric solutions of minimal supergravity in five dimensions
• Embedding AdS Black Holes in Ten and Eleven Dimensions
• Timelike T-Duality, de Sitter Space, Large $N$ Gauge Theories and Topological Field Theory
• Supersymmetric AdS_5 solutions of M-theory
• Accelerating Cosmologies from Compactification
• Supersymmetric black rings and three-charge supertubes
• Two-dimensional SCFTs from wrapped branes and c-extremization
• All supersymmetric solutions of minimal supergravity in six dimensions
• New Vacua of Gauged N=8 Supergravity
• The Scaling of the No Scale Potential and de Sitter Model Building
• Consistent nonlinear KK reduction of 11d supergravity on $Ad{S}_7\times S_4$ and self-duality in odd dimensions
• On the Existence of Meta-stable Vacua in Klebanov-Strassler
• De Sitter Musings
• de Sitter vacua in no-scale supergravities and Calabi-Yau string models
• Consistent SO(6) Reduction Of Type IIB Supergravity on S^5
• Micromanaging de Sitter holography
• On the Cosmology of Type IIA Compactifications on SU(3)-structure Manifolds
• Superconformal Gauge Theories and Non-Critical Superstrings
• Supergravity Instabilities of Non-Supersymmetric Quantum Critical Points
• de Sitter String Vacua from Supersymmetric D-terms
• Minimal Simple de Sitter Solutions
• AdS_3 x S^3 (Un)twisted and Squashed, and an O(2,2;Z) Multiplet of Dyonic Strings
• Non-Abelian T-duality and consistent truncations in type-II supergravity
• S^3 and S^4 Reductions of Type IIA Supergravity
• Stability of AdS_p x M_q Compactifications Without Supersymmetry
• Horizons cannot save the Landscape
• From AdS Black Holes to Supersymmetric Flux-branes
• Black holes and membranes in AdS_7
• Nearing Extremal Intersecting Giants and New Decoupled Sectors in N = 4 SYM
• AdS/Ricci-flat correspondence and the Gregory-Laflamme instability
• Interpolating from AdS_(D-2) X S^2 to AdS_D
• 3D Supergravity from wrapped D3-branes
• EVH Black Holes, AdS3 Throats and EVH/CFT Proposal
• AdS/Ricci-flat correspondence
• Emergent IR dual 2d CFTs in charged AdS5 black holes
• Supergravity dual of c-extremization
• Bubbles of Nothing in Flux Compactifications
• A Supersymmetric and Smooth Compactification of M-theory to AdS(5)
• Domain-wall Supergravities from Sphere Reduction
• Consistent reductions of IIB*/M* theory and de Sitter supergravity
• Stretched extra dimensions and bubbles of nothing in a toy model landscape
• Near-Extremal Vanishing Horizon AdS5 Black Holes and Their CFT Duals
• Nearing 11d Extremal Intersecting Giants and New Decoupled Sectors in D = 3,6 SCFT's
• Consistent reductions from D=11 beyond Sasaki-Einstein
• An alternative to anti-branes and O-planes?
• Four-Dimensional Einstein Yang-Mills De Sitter Gravity From Eleven Dimensions
• Einstein Branes
• Simple cosmological de Sitter solutions on dS${}_4\times Y_6$ spaces
• Non-Supersymmetric Stable Vacua of M-Theory
• From de Sitter to de Sitter

Cited by in corpus (15)

• Quantum Black Hole Entropy from 4d Supersymmetric Cardy formula
• Chiral hydrodynamics in strong external magnetic fields
• 3D supergravity from wrapped M5-branes
• Quasinormal modes of charged magnetic black branes & chiral magnetic transport
• Non-supersymmetric AdS and the Swampland
• Exact Embeddings of JT Gravity in Strings and M-theory
• Probing the EVH limit of supersymmetric AdS black holes
• Near Horizon Structure of Extremal Vanishing Horizon Black Holes
• On Classification of Geometries with SO(2,2) Symmetry
• Warped AdS${}_3$, dS${}_3$ and flows from $\mathcal{N}=(0,2)$ SCFTs
• General Supersymmetric AdS${}_5$ Black Holes with Squashed Boundary
• Non-equilibrium dynamics in Holography
• Black Rings in U(1)^3 Supergravity and their dual 2d CFT
• All supersymmetric solutions of 3D U(1)${}^3$ gauged supergravity
• Geroch Group Description of Bubbling Geometries