A particle worldline in E8 exceptional field theory is made gauge-invariant by adding a coadjoint-orbit "duality charge", and the same Hamiltonian framework organizes exotic zero-brane dynamics such as the 0^(1,7) brane.
Branes are Waves and Monopoles
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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.
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Duality-covariant particles and exotic branes
A particle worldline in E8 exceptional field theory is made gauge-invariant by adding a coadjoint-orbit "duality charge", and the same Hamiltonian framework organizes exotic zero-brane dynamics such as the 0^(1,7) brane.