Locally localized gravity in string theory

ABSTRACT

Localized gravity is the idea of obtaining an effective 4D gravitational theory from

higher-dimensions without compactification. This is done by localizing a set of gravitational

degrees of freedom along a 4D submanifold (brane-world), while the coupling

of the brane-world to the remaining gravitational degrees of freedom is suppressed. A

realization in classical gravity was given by A. Karch and L. Randall by inserting an

AdS4 brane-source into AdS5. I will discuss an embedding of this scenario into string

theory by inserting D5- and NS5-branes into the near horizon geometry of D3-branes.

In particular, the backreacted solutions are presented and analyzed. Novel AdS4 geometries

relevant to gravity localization are found. I will also discuss their relation to

3D SCFTs.