Thomas Hertog, James Hartle
We show that the complex saddle points of the no-boundary wave function with
a positive cosmological constant and a positive scalar potential have a
representation in which the geometry consists of a regular Euclidean AdS domain
wall that makes a smooth transition to a Lorentzian, inflationary universe that
is asymptotically deSitter. The transition region between AdS and dS regulates
the volume divergences of the AdS action and accounts for the phases that
explain the classical behavior of the final configuration. This leads to a dual
formulation in which the semiclassical no-boundary measure is given in terms of
the partition function of field theories on the final boundary that are certain
relevant deformations of the CFTs that occur in AdS/CFT. We conjecture that the
resulting dS/CFT duality holds also beyond the leading order approximation.
View original:
http://arxiv.org/abs/1111.6090
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