Gravity in a Box

TL;DR

This paper explores a hybrid brane-world model combining flat and anti-de Sitter spaces to analyze how resonant modes influence four-dimensional gravity and mode production, bridging different theoretical frameworks.

Contribution

It introduces a novel hybrid brane-world construction that interpolates between two prominent models and studies the effects of resonant and nonresonant modes on gravity.

Findings

Resonant modes affect four-dimensional gravity.

Enhanced production of nonresonant modes occurs on a probe brane.

The model connects different brane-world scenarios.

Abstract

We consider a brane-world construction which incorporates a finite region of flat space, ``the box,'' surrounded by a region of anti-de Sitter space. This hybrid construction provides a framework which interpolates between the scenario proposed by Arkani-Hamed, Dimopoulos and Dvali, and that proposed by Randall and Sundrum. Within this composite framework, we investigate the effects of resonant modes on four-dimensional gravity. We also show that, on a probe brane in the anti-de Sitter region, there is enhanced production of on-shell nonresonant modes. We compare our model to some recent attempts to incorporate the Randall-Sundrum scenario into superstring theory.