A note on AdS cosmology and gauge theory correlator
Souvik Banerjee (Van Swinderen Institute for Particle Physics and Gravity, University of Groningen, Nijenborgh 4, Groningen, 9747 AG, Netherlands); Samrat Bhowmick (Department of Physics, Indian Institute of Technology Madras, Chennai, 600 036, India); Soumyabrata Chatterjee (Institute of Physics, Sachivalaya Marg, Bhubaneswar, 751 005, India); Sudipta Mukherji (Institute of Physics, Sachivalaya Marg, Bhubaneswar, 751 005, India)
Using AdS/CFT prescription, we compute two point Yang-Mills correlator on a constant time slice for the Kasner background. Pushing the surface close to the initial singularity, we find, in some cases, the correlator does not develop pole. We further numerically calculate similar correlator where the bulk is a Kasner AdS soliton. We find that the qualitative behaviour of the correlator remains unchanged.
