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We propose a novel approach to the brane worldvolume theory based on thegeometry of extended field theories: double field theory and exceptional fieldtheory. We demonstrate the effectiveness of this approach by showing that onecan reproduce the conventional bosonic string and membrane actions, and theM5-brane action in the weak-field approximation. At a glance, the proposed5-brane action without approximation looks different from the known M5-braneactions, 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 forexotic branes are also discussed.

Branes in Extended Spacetime: Brane Worldvolume Theory Based on Duality Symmetry