5-branes, KK-monopoles and T-duality

TL;DR

This paper constructs explicit worldvolume actions for type IIB NS-5-branes and KK-monopoles, derived via T-duality from type IIA objects, and explores their duality relations and soliton descriptions.

Contribution

It provides the first explicit worldvolume effective actions for IIB NS-5-branes and KK-monopoles, including T-duality rules and their relation to other branes.

Findings

Derived explicit T-duality transformation rules.

Constructed worldvolume actions matching soliton content.

Showed IIB NS-5-brane relates to D-5-brane via S-duality.

Abstract

We construct the explicit worldvolume effective actions of the type IIB NS-5-brane and KK-monopole. These objects are obtained through a T-duality transformation from the IIA KK-monopole and the IIA NS-5-brane respectively. We show that the worldvolume field content of these actions is precisely that necessary to describe their worldvolume solitons. The IIB NS-5-brane effective action is shown to be related to the D-5-brane's by an S-duality transformation, suggesting the way to construct (p,q) 5-brane multiplets. The IIB KK-monopole is described by a gauged sigma model, in agreement with the general picture for KK-monopoles, and behaves as a singlet under S-duality. We derive the explicit T-duality rules NS-5-brane -- KK, which we use for the construction of the previous actions, as well as NS-5 -- NS-5, and KK -- KK.