The complete N=3 Kaluza Klein spectrum of 11D supergravity on AdS_4 x N^{010}

TL;DR

This paper computes the full Kaluza Klein mass spectrum of 11D supergravity on AdS_4 x N^{010} using harmonic analysis, revealing the complete N=3 supersymmetry structure and key multiplets.

Contribution

It provides the explicit derivation of invariant operators and the complete mass spectrum for the N=3 compactification, a detailed analysis not previously available.

Findings

Complete N=3 supersymmetry content reconstructed

Identified massless graviton, Betti, and SU(3) Killing vector multiplets

Calculated eigenvalues for all SU(3)xSO(3) representations

Abstract

We derive the invariant operators of the zero-form, the one-form, the two-form and the spinor from which the mass spectrum of Kaluza Klein of eleven-dimensional supergravity on AdS_4 x N^{010} can be derived by means of harmonic analysis. We calculate their eigenvalues for all representations of SU(3)xSO(3). We show that the information contained in these operators is sufficient to reconstruct the complete N=3 supersymmetry content of the compactified theory. We find the N=3 massless graviton multiplet, the Betti multiplet and the SU(3) Killing vector multiplet.