"Double-trace" Deformations, Boundary Conditions and Spacetime Singularities

TL;DR

This paper explores how double-trace deformations in AdS/CFT alter boundary conditions and induce non-locality on the worldsheet, potentially affecting the nature of spacetime singularities.

Contribution

It introduces a new perspective on boundary conditions in AdS/CFT deformations, linking non-local worldsheet actions to spacetime features and proposing their generality.

Findings

Double-trace deformations modify boundary conditions in AdS/CFT.

Non-local worldsheet actions emerge from these deformations.

Potential implications for understanding spacetime singularities.

Abstract

Double-trace deformations of the AdS/CFT duality result in a new perturbation expansion for string theory, based on a non-local worldsheet. We discuss some aspects of the deformation in the low energy gravity approximation, where it appears as a change in the boundary condition of fields. We relate unique features of the boundary of AdS to the worldsheet becoming non-local, and conjecture that non-local worldsheet actions may be generic in other classes of backgrounds.