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Inphysics, theFriedmann–Robertson–Walker/conformal field theory-duality orFRW/CFT duality[1][2] is a conjectured duality forFriedmann–Robertson–Walker metric inspired by theAdS/CFT correspondence. It assumes that thecosmological constant is exactly zero, which is only the case for models with exact unbrokensupersymmetry. Because the energy density does not approach zero as we approach spatial infinity, the metric is notasymptotically flat. This is not an asymptotically cold solution.
Ineternal inflation, our universe passes through a series of phase transitions with progressively lower cosmological constant. Our current phase has a cosmological constant of size, which is conjectured to bemetastable instring theory[citation needed]. 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 aBig Crunch.Stephen Shenker andLeonard Susskind called this thecensus taker's hat.[3]
The conformal compactification of the terminal phase has aPenrose diagram shaped like a hat forfuture null infinity. A Euclidean Liouville quantum field theory is assumed to reside there. The null coordinate corresponds to the running of therenormalization group.
The terminal phase has an ever-expanding FRW metric in which the average energy density goes to zero.
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