Spin networks and the big bang singularity avoidance in the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>AdS</mml:mi><mml:mo>/</mml:mo><mml:mi>CFT</mml:mi></mml:mrow></mml:math> correspondence

Abstract

We propose a new version of the $\mathrm{AdS}/\mathrm{CFT}$ correspondence, where polymer structures similar to loop quantum cosmology spin networks can be induced on an isotropic and homogeneous flat Randall-Sundrum II brane, corresponding to the holographic duals of closed string states living in the bulk. Such polymer structures drive a discrete evolution of the braneworld spacetime that leads to the regularization of the big bang singularity. The present results show that the $\mathrm{AdS}/\mathrm{CFT}$ conjecture can be a possible bridge between string theory and loop quantum gravity.

Topics & Concepts