Supersymmetry in 5d Gravity

TL;DR

This paper reveals hidden N=2 supersymmetry in the 4d spectrum of a 5d warped gravity theory, using it to analyze the spectrum and boundary conditions, and discusses potential extensions.

Contribution

It demonstrates the presence of hidden supersymmetry in 5d gravity with warped metrics and utilizes it to determine physical spectra and boundary conditions.

Findings

Identification of two N=2 supersymmetric quantum-mechanical systems in the 4d spectrum

Supersymmetry as a remnant of higher-dimensional invariance

Framework for analyzing boundary conditions using supersymmetry

Abstract

We study a 5d gravity theory with a warped metric and show that two N = 2 supersymmetric quantum-mechanical systems are hidden in the 4d spectrum. The supersymmetry can be regarded as a remnant of higher-dimensional general coordinate invariance and turns out to become a powerful tool to determine the physical 4d spectrum and the allowed boundary conditions. Possible extensions of the N = 2 supersymmetry are briefly discussed.