The Massive Kaluza-Klein Monopole

TL;DR

This paper constructs the effective worldvolume action for a massive Kaluza-Klein monopole in M-theory, demonstrating consistency with reductions to known branes and extending understanding of monopole dynamics in massive supergravity backgrounds.

Contribution

It provides the first explicit construction of the bosonic worldvolume action for a massive Kaluza-Klein monopole in eleven-dimensional supergravity.

Findings

Dimensional reduction yields the massive D6-brane action.

Double dimensional reduction reproduces the IIA Kaluza-Klein monopole.

Consistency checks confirm the validity of the constructed action.

Abstract

We construct the (bosonic) effective worldvolume action of an M-theory Kaluza-Klein monopole in a background given by the bosonic sector of eleven-dimensional massive supergravity, i.e. a "massive Kaluza-Klein monopole". As a consistency check we show that the direct dimensional reduction along the isometry direction of the Taub-NUT space leads to the massive D-6-brane. We furthermore perform a double dimensional reduction in the massless case and obtain the effective worldvolume action of a type IIA Kaluza-Klein monopole.