AdS/CFT correspondence in cosmology

TL;DR

This paper explores the possibility of realizing AdS/CFT correspondence in a cosmological setting by exchanging coordinates in a Schwarzschild-AdS black hole and tests the correspondence through free energy comparisons.

Contribution

It introduces a novel approach to cosmological AdS/CFT by coordinate exchange and demonstrates the correspondence through free energy calculations.

Findings

Successful test of free energy proportionality between cosmological space and super Yang-Mills theory.

Proposes a new cosmological model within the AdS/CFT framework.

Shows consistency of the model with known theoretical predictions.

Abstract

The attempt to understand if AdS/CFT correspondence may be realized as the one between some AdS-like cosmological space and CFT living on the boundary is made. In order to obtain such cosmology we exchange the time and radial coordinates in d5 Schwarzschild-anti de Sitter (S-AdS) BH (with corresponding signature change). The test on proportionality of free energies from such d5 cosmological space (after AdS/CFT identification of parameters) and from ${\cal N}=4$ SU(N) super Yang-Mills quantum theory is successfully passed.