Strings 2012 Munich July. (In)Stabilities and Complementarity in AdS/CFT. Eliezer Rabinovici The Hebrew University, Jerusalem Based on works with J.L.F Barbon Based on work with R. Auzzi, S. Elitzur and S.B. Gudnason.
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The Hebrew University, Jerusalem
Based on works with J.L.F Barbon
Based on work with R. Auzzi, S. Elitzur and S.B. Gudnason
In AdS what you see is not what you get knowledge/approximations
Non perturbative definition of the theory. knowledge/approximations
There are several possible QFT duals on the bondaryboundary
In the dS frame: the bulk.
In the E frame:
Phases are clear-cut
Over at the E-frame... the bulk.
Mass term blows to
in finite time
One can build quantum mechanical models with two non-commuting Hamiltonians
t-evolution crunches and τ-evolution is eternal
but they are complementary as both time evolution
operators are related by a unitary canonical map
Bulk analogs non-commuting Hamiltonians
bubble of nothing
Continues to dS gap
Domain wall flow
Continues to dS condensate
What about non-commuting Hamiltonians
This is the slightly massive UV CFT on a finite box
Detailed dynamics should depend on quantum effects
after large-N summation
In Bulk, we get linearized scalar flows which crunch
for either sign of
Small scalar flow
small large-N dS condensate
E-frame still crunches
Time dependent butterfly-like boundary potential flow to infinity at a finite time and need not be healed in the bulk.Butterflies
Positive effective potential flow to infinity at a finite time and need not be healed in the bulk.
for drift mode
Free Field theory flow to infinity at a finite time and need not be healed in the bulk.
AdS flow to infinity at a finite time and need not be healed in the bulk.Crunches
a finite time
for low frequencies
Black holes appearing
in a short time
Black holes appearing
a long time
back and forth