Domain Walls with Localised Gravity and Domain-Wall/QFT Correspondence

TL;DR

This paper reviews domain-wall solutions in supergravity that localize gravity, explores their string theory origins, and discusses their implications for a domain-wall/QFT correspondence with UV cut-offs.

Contribution

It demonstrates how certain supergravity domain walls can trap gravity and relate to M-branes and D-branes with decoupling limits, linking to a dual quantum field theory.

Findings

Gravity can be localized on domain walls supported by scalar potentials.

Solutions lift to M-branes and D-branes with decoupling limits p≤5.

The delta-function source acts as a UV cut-off in the dual QFT.

Abstract

We review general domain-wall solutions supported by a delta-function source, together with a single pure exponential scalar potential in supergravity. These scalar potentials arise from a sphere reduction in M-theory or string theory. There are several examples of flat (BPS) domain walls that lead to a localisation of gravity on the brane, and for these we obtain the form of the corrections to Newtonian gravity. These solutions are lifted back on certain internal spheres to D=11 and D=10 as M-branes and D-branes. We find that the domain walls that can trap gravity yield M-branes or Dp-branes that have a natural decoupling limit, i.e. p\le 5, with the delta-function source providing an ultra-violet cut-off in a dual quantum field theory. This suggests that the localisation of gravity can generally be realised within a Domain-wall/QFT correspondence, with the delta-function domain-wall source providing a cut-off from the space-time boundary for these domain-wall solutions. We also discuss the form of the one-loop corrections to the graviton propagator from the boundary QFT that would reproduce the corrections to the Newtonian gravity on the domain wall.