Charting the Landscape of Modified Gravity
Nemanja Kaloper, Derrick Kiley

TL;DR
This paper investigates brane-induced gravity in six dimensions, revealing a landscape of solutions influenced by axion flux, and discusses how vacuum energy affects the crossover scale and gravity behavior across different regimes.
Contribution
It introduces a new framework for understanding brane-induced gravity with a resolved brane core, showing a landscape of vacua and analyzing the impact of vacuum energy on gravity scales.
Findings
A landscape of vacua controlled by axion flux boundary conditions.
Vacuum energy influences the crossover scale and effective gravity.
Near-critical branes exhibit a transition from 4D to 5D and then to 6D gravity.
Abstract
We explore brane induced gravity on a 3-brane in six locally flat dimensions. To regulate the short distance singularities in the brane core, we resolve the thin brane by a cylindrical 4-brane, with the geometry of 4D Minkowski a circle, which has an axion flux to cancel the vacuum pressure in the compact direction. We discover a large diversity of possible solutions controlled by the axion flux, as governed by its boundary conditions. Hence brane induced gravity models really give rise to a {\it landscape} of vacua, at least semiclassically. For sub-critical tensions, the crossover scale, below which gravity may look 4D, and the effective 4D gravitational coupling are sensitive to vacuum energy. This shows how the vacuum energy problem manifests in brane induced gravity: instead of tuning the 4D curvature, generically one must tune the crossover scale. On the other hand, in…
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