T-duality and the Worldvolume Solitons of Five-Branes and KK-Monopoles

TL;DR

This paper explores the relationships between fluxes, bound states, and solitons of five-branes and KK-monopoles in string theory, utilizing supergravity solutions and T-duality to understand their interconnected structures.

Contribution

It introduces new supergravity solutions for bound states of branes and monopoles, and analyzes their worldvolume solitons under T-duality, extending understanding of brane interactions.

Findings

Bound states of D-branes with NS-5-branes and KK-monopoles preserve half supersymmetry.

Constructed supergravity solutions for intersecting branes and monopoles.

Mapped worldvolume solitons under T-duality, linking 0-branes, strings, and 2-branes.

Abstract

We show that the fluxes of the various six-dimensional "gauge" theories are associated to below threshold bound states of D-branes with the NS-5-branes and KK-monopoles which preserve half of bulk supersymmetry. We then present the supergravity solutions that correspond to these bound states. In addition using the worldvolume solitons of IIA and IIB NS-5-branes and KK-monopoles, we investigate the sectors of the "gauge" theories that preserve one quarter of bulk supersymmetry. This leads to a generalization a supergravity solution which has the interpretation of two intersecting NS-5-branes at a 3-brane and to the construction of some of the worldvolume solitons of IIA and M-theory KK-monopoles. Furthermore, using the IIA/IIB T-duality of the bulk theories, we give the T-duality transformations of the worldvolume solitons of NS-5-branes and KK-monopoles. We find that the worldvolume 0-brane, self-dual string and 2-brane solitons of NS-5-branes appear in the same T-duality chain.