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 localization 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 and 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., with the delta-function source providing an ultraviolet cutoff in a dual quantum field theory. This suggests that the localization of gravity can generally be realized within a domain-wall/QFT correspondence, with the delta-function domain-wall source providing a cutoff 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.
- Received 2 October 2000
DOI:https://doi.org/10.1103/PhysRevD.63.086004
©2001 American Physical Society