Godel space from wrapped M2-branes

Abstract

We show that M-theory admits a supersymmetric compactification to the Godel universe of the form Godel3 x S2 x CY3. We interpret this geometry as coming from the backreaction of M2-branes wrapping the S2 in an AdS3 x S2 x CY3 flux compactification. In the black hole deconstruction proposal similar states give rise to the entropy of a D4-D0 black hole. The system is effectively described by a three-dimensional theory consisting of an axion-dilaton coupled to gravity with a negative cosmological constant. Other embeddings of the three-dimensional theory imply similar supersymmetric Godel compactifications of type IIA/IIB string theory and F-theory.

21 pages+appendices, 3 figures

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• Warped anti-de Sitter spaces from brane intersections in type II string theory
• String Theory on Warped AdS_3 and Virasoro Resonances
• Warped Entanglement Entropy
• Multi-centered AdS${}_3$ solutions from Virasoro conformal blocks
• Warped Black Holes in Lower-Spin Gravity
• String theories on warped AdS backgrounds and integrable deformations of spin chains
• Godel Universe from String Theory
• Lectures on Microstate Geometries
• Supersymmetry and Wrapped Branes in Microstate Geometries
• Unlocking the Axion-Dilaton in 5D Supergravity
• Warped AdS${}_3$, dS${}_3$ and flows from $\mathcal{N}=(0,2)$ SCFTs
• Non-Abelian Supertubes
• The Godel-Schrodinger Spacetime and Stringy Chronology Protection
• Chronology protection and the stringy exclusion principle
• Microstate solutions from black hole deconstruction
• All supersymmetric solutions of 3D U(1)${}^3$ gauged supergravity
• Causal transformation of Gödel-type space-times in conformal field theory
• Chiral boundary conditions for singletons and W-branes