Time-dependent AdS/CFT Duality II: Holographic Reconstruction of Bulk Metric and Possible Resolution of Singularity

Understand

We continue the studies of our earlier proposal for an AdS/CFT correspondence for time-dependent supergravity backgrounds.

• We note that by performing a suitable change of variables, the dual super Yang-Mills theory lives on a flat base space, and the time-dependence of the supergravity background is entirely encoded in the time-dependent couplings (gauge and axionic) and their supersymmetric completion.
• This form of the SYM allows a detailed perturbative analysis to be performed.
• In particular the one-loop Wilsonian effective action of the boundary SYM theory is computed.