Super-Chern-Simons spectra from Exceptional Field Theory

TL;DR

This paper uses Exceptional Field Theory to compute the full Kaluza-Klein spectra of certain AdS4 solutions in supergravity, revealing detailed spectra of dual three-dimensional superconformal Chern-Simons theories.

Contribution

It introduces a novel application of Exceptional Field Theory to determine complete supersymmetric spectra for specific AdS4 solutions in supergravity.

Findings

Computed Kaluza-Klein vector perturbation spectra.

Characterized supersymmetric spectra for ${ m AdS}_4$ solutions.

Linked spectra to dual superconformal Chern-Simons theories.

Abstract

Exceptional Field Theory has been recently shown to be very powerful to compute Kaluza-Klein spectra. Using these techniques, the mass matrix of Kaluza-Klein vector perturbations about a specific class of AdS$_4$ solutions of $D=11$ and massive type IIA supergravity is determined. These results are then employed to characterise the complete supersymmetric spectrum about some notable ${\cal N}=2$ and ${\cal N}=3$ AdS$_4$ solutions in this class, which are dual to specific three-dimensional superconformal Chern-Simons field theories.