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 in Extended Spacetime: Brane Worldvolume Theory Based on Duality Symmetry
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abstract
We propose a novel approach to the brane worldvolume theory based on the geometry of extended field theories: double field theory and exceptional field theory. We demonstrate the effectiveness of this approach by showing that one can reproduce the conventional bosonic string and membrane actions, and the M5-brane action in the weak-field approximation. At a glance, the proposed 5-brane action without approximation looks different from the known M5-brane actions, but it is consistent with the known nonlinear self-duality relation, and it may provide a new formulation of a single M5-brane action. Actions for exotic branes are also discussed.
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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.