Branes are Waves and Monopoles

TL;DR

This paper explores how various branes in higher-dimensional theories can be understood as both waves and monopoles within the framework of exceptional extended geometry, revealing new insights into T-duality and brane dynamics.

Contribution

It demonstrates that all branes in E7 exceptional extended geometry can be viewed as both waves and monopoles, extending the understanding of brane dualities in extended theories.

Findings

Branes are shown to be both waves and monopoles in exceptional geometry.

T-duality is clarified through O(d; d) transformations in Double Field Theory.

All branes in E7 geometry exhibit wave and monopole duality.

Abstract

In a recent paper it was shown that fundamental strings are null waves in Double Field Theory. Similarly, membranes are waves in exceptional extended geometry. Here the story is continued by showing how various branes are Kaluza-Klein monopoles of these higher dimensional theories. Examining the specific case of the E7 exceptional extended geometry, we see that all branes are both waves and monopoles. Along the way we discuss the O(d; d) transformation of localized brane solutions not associated to an isometry and how true T-duality emerges in Double Field Theory when the background possesses isometries.