Inflation in AdS/CFT

By Ben Freivogel, V. Hubeny, A. Maloney, R. Myers, M. Rangamani, S. Shenker. 2005

164 citations recorded by the source corpus.

We study the AdS/CFT correspondence as a probe of inflation. We assume the existence of a string landscape containing at least one stable AdS vacuum and a (nearby) metastable de Sitter state. Standard arguments imply that the bulk physics in the vicinity of the AdS minimum is described by a boundary CFT. We argue that large enough bubbles of the dS phase, including those able to inflate, are described by mixed states in the CFT. Inflating degrees of freedom are traced over and do not appear explicitly in the boundary description. They nevertheless leave a distinct imprint on the mixed state. Analytic continuation allows us, in principle, to recover a large amount of nonperturbatively defined information about the inflating regime. Our work also shows that no scattering process can create an inflating region, even by quantum tunneling, since a pure state can never evolve into a mixed state under unitary evolution.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/7e578a86d3f35fbdf9cd6b8f7bb264b4cdc3cc6e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. D. Harlow
2. V. Hubeny
3. M. Rangamani
4. T. Takayanagi
5. R. Myers
6. S. Raju
7. Aron C. Wall
8. J. Maldacena

In Nuclear and High Energy Physics

1. D. Harlow
2. T. Takayanagi
3. V. Hubeny
4. R. Myers
5. M. Rangamani
6. S. Raju
7. J. Maldacena
8. Aron C. Wall

Citations in the corpus

• A covariant holographic entanglement entropy proposal (2007, background): “However, even in such cases we expect to have an equivalent description in terms of a pure state by assuming another CFT sector hidden inside the horizons as in the Schwarzschild-AdS case [21], or other degrees of freedom in more general circumstances as in the examples of [41].”
• Comments on quantum gravity and entanglement (2009, background): “(11)See [19] for a discussion of mixed states in AdS/CFT, which inspired some of the ideas in this”
• De Sitter Space and the Swampland (2018, background): “However, for a meta-stable dS realized in an asymptotically AdS space, the initial singularity has led to various puzzles on its holographic meaning [43, 44].”
• Causality & holographic entanglement entropy (2014, background): “(A simple argument establishing this can be found in [42].”
• Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime (2014, background): “This provides some evidence that the information in the bag of gold is not in fact contained in the CFT, as suggested in [56, 57, 58], although a proof of this fact would require also analyzing operators which do not propagate into the bulk causally.”
• Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy (2012, background): “Semiclassically, one can store an arbitrarily large amount of entropy in the FRW universe [19–22], which cannot be accounted for by the CFT, suggesting that some observables in the bulk are superselection sectors [23].”
• The gravity dual of a density matrix (2012, background): “(2)For an earlier discussion of mixed states in the context of AdS/CFT, see [5].”
• Extremal surfaces as bulk probes in AdS/CFT (2012, methodology): “Indeed, one can use similar correlators to discern even more subtle signals of the bulk geometry from behind the black hole horizon, such as explored in [22] to investigate aspects of inflationary cosmology within AdS/CFT.”
• Local bulk operators in AdS/CFT: A holographic description of the black hole interior (2006, methodology): “Complexified coordinates also appeared in [15], and have been used to study the region inside horizons in [16, 17, 18, 19, 20].”
• Black Hole Remnants and the Information Loss Paradox (2014, methodology): “The matter source ρ works as a de Sitter-like core that replaces the black hole singularity.”
• A Holographic View on Physics out of Equilibrium (2010, methodology): “Moreover, it has been proposed in [196] that this technique can be exploited to extract physics from further beyond the event horizon, and in particular used to investigate aspects of inflationary geometry within AdS/CFT.”