Zero Modes for the D=11 Membrane and Five-Brane

TL;DR

This paper investigates the zero modes of membrane and five-brane solutions in D=11 supergravity, confirming they have the correct number of normalizable zero modes consistent with supersymmetry, advancing understanding of their quantum properties.

Contribution

It provides the first detailed analysis of zero modes for D=11 membrane and five-brane solutions, linking classical solutions to supersymmetric quantum features.

Findings

Both solutions have the correct number of normalizable zero modes.

Zero modes are consistent with supersymmetry requirements.

This work advances understanding of quantum aspects of M-theory branes.

Abstract

There exist extremal p-brane solutions of $D\!=\!11$ supergravity for p=2~and~5. In this paper we investigate the zero modes of the membrane and the five-brane solutions as a first step toward understanding the full quantum theory of these objects. It is found that both solutions possess the correct number of normalizable zero modes dictated by supersymmetry.