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11 papers found.
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Axion wormholes in AdS compactifications

We find regular axionic Euclidean wormhole solutions in Type IIB string theory compactified on \( {\mathrm{AdS}}_5\times {\mathrm{S}}^5/{\mathrm{\mathbb{Z}}}_k \). AdS/CFT enables a precise derivation of the axion content of the Euclidean theory, placing the string theory embedding of the wormholes on firm footing. This further sharpens the paradox posed by these solutions.

Lorentzian condition in holographic cosmology

We derive a sufficient set of conditions on the Euclidean boundary theory in dS/CFT for it to predict classical, Lorentzian bulk evolution at large spatial volumes. Our derivation makes use of a canonical transformation to express the bulk wave function at large volume in terms of the sources of the dual partition function. This enables a sharper formulation of dS/CFT. The...

The NUTs and Bolts of squashed holography

We evaluate the partition function of the free O(N ) model on a two-parameter family of squashed three spheres. We also find new solutions of general relativity with negative cosmological constant and the same double squashed boundary geometry and analyse their thermodynamic properties. Remarkably, both systems exhibit a qualitatively similar behaviour over the entire...

Two wave functions and dS/CFT on S1 × S2

We evaluate the tunneling and Hartle-Hawking wave functions on S 1 × S 2 boundaries in Einstein gravity with a positive cosmological constant. In the large overall volume limit the classical predictions of both wave functions include an ensemble of Schwarzschild-de Sitter black holes. We show that the Hartle-Hawking tree level measure on the classical ensemble converges in the...

Cosmological singularities encoded in IR boundary correlations

We study the dynamics near big crunch singularities produced in asymptotic AdS cosmologies using gauge/gravity duality. The dual description consists of a constant mass deformation of ABJM theory on de Sitter space and is well-defined and stable for small deformations. We identify the critical deformation where the theory becomes unstable at weak and at strong coupling. Using...

Further holographic investigations of big bang singularities

We further explore the quantum dynamics near past cosmological singularities in anisotropic Kasner-AdS solutions using gauge/gravity duality. The dual description of the bulk evolution involves \( \mathcal{N}=4 \) super Yang-Mills on the contracting branch of an anisotropic de Sitter space and is well defined. We compute two-point correlators of Yang-Mills operators of large...

Holographic tunneling wave function

The Hartle-Hawking wave function in cosmology can be viewed as a decaying wave function with anti-de Sitter (AdS) boundary conditions. We show that the growing wave function in AdS familiar from Euclidean AdS/CFT is equivalent, semiclassically and up to surface terms, to the tunneling wave function in cosmology. The cosmological measure in the tunneling state is given by the...

Holographic no-boundary measure

We show that the complex saddle points of the no-boundary wave function with a positive cosmological constant and a positive scalar potential have a representation in which the geometry consists of a regular Euclidean AdS domain wall that makes a smooth transition to a Lorentzian, inflationary universe that is asymptotically de Sitter. The transition region between AdS and dS...

Particle production near an AdS crunch

Lorenzo Battarra 0 Thomas Hertog 0 0 APC, CNRS, Universiet Paris-Diderot, 10 rue Alice Domon et Leonie Duquet, 75205 Paris Cedex 13, France We numerically study the dual eld theory evolution of ve