Dual of Big-bang and Big-crunch

TL;DR

This paper explores the dual gauge theory description of cosmological singularities, revealing their relation via S-duality and showing they are non-singular in the dual Yang-Mills framework, highlighting the limitations of supergravity.

Contribution

It provides a novel gauge theory perspective on cosmological singularities through double analytic continuation and S-duality in the context of AdS/CFT correspondence.

Findings

Big-bang and big-crunch singularities are related by S-duality.

In the dual Yang-Mills theory, these singularities are non-singular due to coupling behavior.

Supergravity fails to describe the full string theory near singularities.

Abstract

Starting from the Janus solution and its gauge theory dual, we obtain the dual gauge theory description of the cosmological solution by procedure of the double anaytic continuation. The coupling is driven either to zero or to infinity at the big-bang and big-crunch singularities, which are shown to be related by the S-duality symmetry. In the dual Yang-Mills theory description, these are non singular at all as the coupling goes to zero in the N=4 Super Yang-Mills theory. The cosmological singularities simply signal the failure of the supergravity description of the full type IIB superstring theory.