Domain walls with localized gravity and domain-wall/quantum field theory correspondence

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 ≤ 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.

Domain walls in five dimensional supergravity with non-trivial hypermultiplets

“…An additional motivation arises from the fact that such DW solutions are closely related to a supersymmetric version of the Randall-Sundrum (RS) scenario [18]- [24]. In this scenario gravity is localized near the wall through exponential suppression and therefore requires a DW which asymptotes to IR fixed points on both sides.…”

Holography and brane cosmology in domain wall backgrounds

“…There exists a class of domain wall solutions in the action (2.1), and the localization of gravity on the domain wall has been investigated in some detail in [29] (see also [30]). …”

“…can be transformed to the form of domain-wall solution in [29] by dropping the "1" of the becomes naked. Therefore, we will not further consider this case.…”

Randall-Sundrum models and the regularized AdS/CFT correspondence

“…Other developements in this direction include [14,15,16]. This holographic description has been invoked in a number of works to study different aspects of Randall-Sundrum models [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34].…”