Further holographic investigations of big bang singularities
Netta Engelhardt (Department of Physics, UCSB, Santa Barbara, CA, 93106, United States); Thomas Hertog (Institute for Theoretical Physics, KU Leuven, 3001, Leuven, Belgium); Gary Horowitz (Department of Physics, UCSB, Santa Barbara, CA, 93106, United States)
We further explore the quantum dynamics near past cosmological singularities in anisotropic Kasner-AdS solutions using gauge/gravity duality. The dual description of the bulk evolution involves N = 4 $$ \mathcal{N}=4 $$ super Yang-Mills on the contracting branch of an anisotropic de Sitter space and is well defined. We compute two-point correlators of Yang-Mills operators of large dimensions using spacelike geodesics anchored on the boundary. The correlator between two points separated in a direction with negative Kasner exponent p always exhibits a pole at horizon scales, in any dimension, which we interpret as a dual signature of the classical bulk singularity. This indicates that the geodesic approximation selects a non-normalizable Yang-Mills state.