Abstract Type II string theory or M-theory contains a broad spectrum of gauge potentials. In addition to the standard -form potentials, various mixed-symmetry potentials have been predicted, which may couple to exotic branes with non-standard tensions. Together with -forms, mixed-symmetry potentials turn out to be essential to build the multiplets of the -duality symmetry in each dimension. In this paper, we systematically determine the set of mixed-symmetry potentials and exotic branes on the basis of the conjecture. We also study the decompositions of -duality multiplets into -duality multiplets and determine which mixed-symmetry tensors are contained in each of the -/-duality multiplets.
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