Misplaced Pages

This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. Find sources: "FRW/CFT duality" – news · newspapers · books · scholar · JSTOR (September 2011) (Learn how and when to remove this message)

In physics, the Friedmann–Robertson–Walker/conformal field theory-duality or FRW/CFT duality is a conjectured duality for Friedmann–Robertson–Walker metric inspired by the AdS/CFT correspondence. It assumes that the cosmological constant is exactly zero, which is only the case for models with exact unbroken supersymmetry. Because the energy density does not approach zero as we approach spatial infinity, the metric is not asymptotically flat. This is not an asymptotically cold solution.

Overview

In eternal inflation, our universe passes through a series of phase transitions with progressively lower cosmological constant. Our current phase has a cosmological constant of size ${\displaystyle 10^{-123}}$, which is conjectured to be metastable in string theory. It is possible our universe might tunnel into a supersymmetric phase with an exactly zero cosmological constant. In fact, any particle in eternal inflation will eventually terminate in a phase with exactly zero or negative cosmological constant. The phases with negative cosmological constant will end in a Big Crunch. Stephen Shenker and Leonard Susskind called this the census taker's hat.

The conformal compactification of the terminal phase has a Penrose diagram shaped like a hat for future null infinity. A Euclidean Liouville quantum field theory is assumed to reside there. The null coordinate corresponds to the running of the renormalization group.

The terminal phase has an ever-expanding FRW metric in which the average energy density goes to zero.

References

1. Yasuhiro, Sekino; Susskind, Leonard (28 Oct 2009). "Census Taking in the Hat: FRW/CFT Duality". Phys. Rev. D. 80 (8): 083531. arXiv:0908.3844. Bibcode:2009PhRvD..80h3531S. doi:10.1103/PhysRevD.80.083531. S2CID 18616546.
2. Bousso, Raphael; Susskind, Leonard (22 Jul 2011). "The Multiverse Interpretation of Quantum Mechanics". Physical Review D. 85 (4): 045007. arXiv:1105.3796. Bibcode:2012PhRvD..85d5007B. doi:10.1103/PhysRevD.85.045007. S2CID 118507872.
3. Susskind, Leonard (2009). Zanelli, Jorge; Henneaux, Marc (eds.). "The Census Taker's Hat". Quantum Mechanics of Fundamental Systems: The Quest for Beauty and Simplicity. New York, NY: Springer: 1–53. doi:10.1007/978-0-387-87499-9_16. ISBN 978-0-387-87499-9.

v t e Quantum gravity
Central concepts	AdS/CFT correspondence Batalin–Vilkovisky formalism CA-duality Causal patch Faddeev–Popov ghost Gravitational anomaly Graviton Holographic principle IR/UV mixing Planck units Quantum foam Ryu–Takayanagi conjecture Trans-Planckian problem Weinberg–Witten theorem
Toy models	2+1D topological gravity CGHS model Jackiw–Teitelboim gravity Liouville gravity RST model Topological quantum field theory
Quantum field theory in curved spacetime	Bunch–Davies vacuum Hawking radiation Semiclassical gravity Unruh effect
Black holes	Black hole complementarity Black hole information paradox Black-hole thermodynamics Bekenstein bound Bousso's holographic bound Cosmic censorship hypothesis ER = EPR Firewall (physics) Gravitational singularity
Approaches	String theory Bosonic string theory M-theory Supergravity Superstring theory Canonical quantum gravity Loop quantum gravity Wheeler–DeWitt equation Euclidean quantum gravity Hartle–Hawking state Others Causal dynamical triangulation Causal sets Dual graviton Group field theory Noncommutative geometry Spin foam Superfluid vacuum theory Twistor theory
Applications	Quantum cosmology Eternal inflation FRW/CFT duality Multiverse
See also: Template:Quantum mechanics topics

This quantum mechanics-related article is a stub. You can help Misplaced Pages by expanding it.

• v
• t
• e

This relativity-related article is a stub. You can help Misplaced Pages by expanding it.

• v
• t
• e

• Quantum gravity
• Quantum physics stubs
• Relativity stubs