Kaluza-Klein Spectrometry for Supergravity

TL;DR

This paper introduces a method using exceptional field theories to efficiently compute Kaluza-Klein mass spectra in supergravity, especially for complex geometries with minimal symmetries relevant to string theory and holography.

Contribution

It demonstrates how exceptional field theories can be used as a powerful tool to determine Kaluza-Klein spectra for complex supergravity backgrounds, including those with little symmetry.

Findings

Computed masses of higher Kaluza-Klein multiplets in warped geometries.

Applied the method to ${ m AdS}_4$ vacua with ${ m N}=2$ supersymmetry.

Showed the approach's effectiveness for geometries difficult for standard methods.

Abstract

Exceptional field theories yield duality covariant formulations of supergravity. We show that they provide a highly efficient tool to compute the Kaluza-Klein mass spectra associated to compactifications around various background geometries relevant for string theory and holographic applications. This includes geometries with little to no remaining symmetries, hardly accessible to standard methods. As an illustration, we work out the masses of some higher Kaluza-Klein multiplets around warped geometries corresponding to some prominent ${\cal N} = 2$ supersymmetric AdS vacua in maximal supergravity.