Spectrum of Eleven-dimensional Supergravity on a PP-wave Background

TL;DR

This paper computes the spectrum of linearized eleven-dimensional supergravity on a maximally supersymmetric pp-wave background, revealing its agreement with supermembrane zero modes and connections to Kaluza-Klein modes in AdS_4 x S^7.

Contribution

It provides the first detailed spectrum analysis of supergravity on a pp-wave background and links it to supermembrane and Kaluza-Klein theories.

Findings

Spectrum matches supermembrane zero modes.

Connects supergravity spectrum to Kaluza-Klein modes.

Supports the consistency of supergravity and membrane theories.

Abstract

We calculate the spectrum of the linearized supergravity around the maximally supersymmetric pp-wave background in eleven dimensions. The resulting spectrum agrees with that of zero-mode Hamiltonian of a supermembrane theory on the pp-wave background. We also discuss the connection with the Kaluza-Klein zero modes of AdS_4 x S^7 background.