Induced brane gravity: realizations and limitations

TL;DR

This paper investigates induced gravity on branes, revealing a new large threshold scale, analyzing higher curvature corrections, and providing a string theory realization, with implications for submillimeter gravity experiments.

Contribution

It introduces the concept of a new large threshold scale in thick brane models and explores the effects of $R^2$ corrections, including a concrete string theory realization.

Findings

Discovery of a new threshold scale larger than brane thickness

Higher curvature corrections significantly modify gravity behavior

Concrete string/D-brane model realization provided

Abstract

The induced 4d gravity on a brane world is analyzed. The case of a thick brane is considered and the unexpected appearance of a new threshold scale, much larger than the thickness scale is found. In cases of phenomenological interest, this new length scale turns out to be in the submillimeter range. The effect of $R^2$ corrections, both in the bulk and on the brane, is also studied. It is shown that they introduce new threshold scales and may induce drastic modifications to the leading behavior. A concrete string/D-brane realization of the induced gravity scenario is also presented.