TY - JOUR
T1 - AdS crunches, CFT falls and cosmological complementarity
AU - Barbón, José L.F.
AU - Rabinovici, Eliezer
PY - 2011
Y1 - 2011
N2 - We discuss aspects of the holographic description of crunching AdS cosmologies. We argue that crunching FRW models with hyperbolic spatial sections are dual to semiclassical condensates in deformed de Sitter CFTs. De Sitter-invariant condensates with a sharply defined energy scale are induced by effective negative-definite relevant or marginal operators, which may or may not destabilize the CFT. We find this result by explicitly constructing a 'complementarity map' for this model, given by a conformal transformation of the de Sitter CFT into a static time-frame, which reveals the crunch as an infinite potentialenergy fall in finite time. We show that, quite generically, the crunch is associated to a finite mass black hole if the de Sitter O(d, 1)-invariance is an accidental IR symmetry, broken down to U(1) × O(d) in the UV. Any such regularization cuts off the eternity of de Sitter space-time. Equivalently, the dimension of the Hilbert space propagating into the crunch is finite only when de Sitter is not eternal.
AB - We discuss aspects of the holographic description of crunching AdS cosmologies. We argue that crunching FRW models with hyperbolic spatial sections are dual to semiclassical condensates in deformed de Sitter CFTs. De Sitter-invariant condensates with a sharply defined energy scale are induced by effective negative-definite relevant or marginal operators, which may or may not destabilize the CFT. We find this result by explicitly constructing a 'complementarity map' for this model, given by a conformal transformation of the de Sitter CFT into a static time-frame, which reveals the crunch as an infinite potentialenergy fall in finite time. We show that, quite generically, the crunch is associated to a finite mass black hole if the de Sitter O(d, 1)-invariance is an accidental IR symmetry, broken down to U(1) × O(d) in the UV. Any such regularization cuts off the eternity of de Sitter space-time. Equivalently, the dimension of the Hilbert space propagating into the crunch is finite only when de Sitter is not eternal.
KW - AdS-CFT correspondence
KW - Gauge-gravity correspondence
KW - Spacetime singularities
UR - http://www.scopus.com/inward/record.url?scp=80053141268&partnerID=8YFLogxK
U2 - 10.1007/JHEP04(2011)044
DO - 10.1007/JHEP04(2011)044
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AN - SCOPUS:80053141268
SN - 1126-6708
VL - 2011
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 4
M1 - 44
ER -