Instantons and the Hartle-Hawking-Maldacena Proposal for dS/CFT
arXiv:1406.6148 · doi:10.1007/JHEP11(2014)126
Abstract
We test the Maldacena proposal for the Hartle-Hawking late time quantum state in an asymptotically de Sitter universe. In particular, we calculate the on-shell action for scalar instantons on the southern hemisphere of the four-sphere and compare the result with the renormalized on-shell action for scalar instantons in EAdS. The two results agree provided the corresponding instanton moduli as well as the curvature radii are analytically continued. The instanton solutions in de Sitter are novel and satisfy mixed boundary conditions. We also point out that instantons on calculate the regularized volume of EAdS, while instantons on EAdS calculate the volume of , where the boundary condition of the instanton in one space is identified with the radius of curvature of the other. We briefly discuss the implications of the above geometric property of instantons for higher-spin holography.
arXiv comment15 pages; v2: JHEP version, formula (3.3) corrected, comments and refs added
References in corpus (27)
- Non-Gaussian features of primordial fluctuations in single field inflationary models
- Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
- Lecture Notes on Holographic Renormalization
- The dS/CFT Correspondence
- Towards the F-Theorem: N=2 Field Theories on the Three-Sphere
- The Exact Superconformal R-Symmetry Extremizes Z
- Mass, Entropy and Holography in Asymptotically de Sitter Spaces
- Exact black hole solution with a minimally coupled scalar field
- Holography for Cosmology
- Einstein Gravity from Conformal Gravity
- Multi-Trace Deformations in AdS/CFT: Exploring the Vacuum Structure of the Deformed CFT
- Operator Dictionaries and Wave Functions in AdS/CFT and dS/CFT
- Elliptic de Sitter Space: dS/Z_2
- An Exact Solution of 4D Higher-Spin Gauge Theory
- Holographic Non-Gaussianity
- Conformally Coupled Scalars, Instantons and Vacuum Instability in AdS_4
- The Holographic Universe
- Cosmological 3-point correlators from holography
- Higher Spin Realization of the dS/CFT Correspondence
- Higher-Spin Theory and Space-Time Metamorphoses
- Holography of AdS vacuum bubbles
- Dual Gravitons in AdS4/CFT3 and the Holographic Cotton Tensor
- Chern-Simons-Ghost Theories and de Sitter Space
- Electric-magnetic Duality and Deformations of Three-Dimensional CFT's
- Stochastic Quantization and AdS/CFT
- Holographic Aspects of Electric-Magnetic Dualities
- Stochastic quantization of conformally coupled scalar in AdS