5-branes, KK-monopoles and T-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.

Figures (3)

• Figure 1: In this figure we depict the way we have derived the IIB NS-5-brane action. Applying $T$-duality in the IIA KK-monopole action along the Taub-NUT direction the type IIB NS-$5$-brane action is obtained, and it is $S$-dual to the D-$5$-brane effective action.
• Figure 2: The IIB NS-5-brane worldvolume theory contains a vector $c^{(1)}$, which is the $S$-dual of the BI field $b$ and describes the flux of a D-string ending on the 5-brane. This is the $S$-dual picture of a fundamental string ending on a D-5-brane.
• Figure 3: In this figure we depict how we have obtained the IIB KK-monopole action. We apply $T$-duality on the IIA NS-$5$-brane action along one coordinate in the transverse space. One check of the action obtained is its invariance under $S$-duality.