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We consider all possible dynamical theories which evolve two transverse vector fields out of a three-dimensional Euclidean hyperplane, subject to only two assumptions: (i) the evolution is local in space, and (ii) the theory is invariant under "duality rotations" of the vector fields into one another.
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An illuminating way of seeing the uniqueness of the bracket ( 3
Cited in the paper.
Just as ( 7
Cited in the paper.
Similar conclusions are expected to hold for ( 2 n + 1 ) (2n+1) -form potentials in 4 ( n + 1 ) 4(n+1) dimensions. The analysis would proceed along the same lines, but would become more intricate because the number of invariants grows with the dimension. The appropriate framework is provided by the non-manifestly covariant, two-potential formulation of: J. H. Schwarz and A. Sen, “Duality symmetric actions,” Nucl. Phys. B 411
Cited in the paper.
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