The Kaluza-Klein Monopole in a Massive IIA Background

TL;DR

This paper develops an effective action for the KK-monopole in a massive Type IIA background using two approaches: a massive M-theory construction and T-duality, enhancing understanding of monopoles in massive string theory.

Contribution

It introduces a novel effective action for the KK-monopole in massive IIA and establishes T-duality rules connecting Type IIB NS-5-branes to massive IIA KK-monopoles.

Findings

Constructed a massive M-theory KK-monopole with two isometries.

Derived massive T-duality rules linking NS-5-branes and KK-monopoles.

Validated the IIA monopole action through duality checks.

Abstract

We construct the effective action of the KK-monopole in a massive Type IIA background. We follow two approaches. First we construct a massive M-theory KK-monopole from which the IIA monopole is obtained by double dimensional reduction. This eleven dimensional monopole contains two isometries: one under translations of the Taub-NUT coordinate and the other under massive transformations of the embedding coordinates. Secondly, we construct the massive T-duality rules that map the Type IIB NS-5-brane onto the massive Type IIA KK-monopole. This provides a check of the action constructed from eleven dimensions.