FRW/CFT duality
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The FRW/CFT dualityasymptotically 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 , which is conjectured to be
metastable in string 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 a Big Crunch. Shenkar and Leonard Susskind
called this the Census Taker's Hat.
The conformal compactification of the terminal phase has a
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
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