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{{refimprove|date=September 2011}}
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The '''FRW/CFT duality'''<ref>
{{cite journal
| last1        = Yasuhiro
| first1      = Sekino
| authorlink1  = Yasuhiro Sekino
| last2        = Susskind
| first2      = Leonard
| authorlink2  = Leonard Susskind
| date        = 28 Oct 2009
| title        = Census Taking in the Hat: FRW/CFT Duality.
| journal      = Phys. Rev.
| volume      = 80
| issue        = 8
| series      = D
| pages        = 083531
| doi          = 10.1103/PhysRevD.80.083531
| url          = http://prd.aps.org/abstract/PRD/v80/i8/e083531
| archiveurl  = http://arxiv.org/abs/arXiv:0908.3844
| archivedate  = 5 Apr 2010
}}
</ref><ref>
{{cite journal
| last1        = Susskind
| first1      = Leonard
| authorlink1  = Leonard Susskind
| title        = The Census taker's hat
| date        = 5 Oct 2007
| url          = http://arxiv.org/abs/arXiv:0710.1129
}}
</ref><ref>
{{cite journal
| last1        = Bousso
| first1      = Raphael
| authorlink1  = Raphael Bousso
| last2        = Susskind
| first2      = Leonard
| authorlink2  = Leonard Susskind
| date        = 22 Jul 2011
| title        = The Multiverse Interpretation of Quantum Mechanics
| url          = http://arxiv.org/abs/arXiv:1105.3796
}}
</ref> is a conjectured duality for [[Friedmann-Robertson-Walker model]]s 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 doesn't approach zero as we approach spatial infinity, the metric isn't [[asymptotically flat]]. This isn't an asymptotically cold solution.
 
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 <math>10^{-123}</math>, 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]]. Shenkar 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 ==
 
{{reflist}}
 
{{Quantum gravity}}
 
{{DEFAULTSORT:FRW CFT duality}}
[[Category:Quantum gravity]]

Latest revision as of 11:35, 15 August 2014

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