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On the interacting chiral gauge field theory in D = 6 and the off-shell equivalence of dual Born-Infeld-like actions

A canonical action describing the interaction of chiral gauge fields in D = 6 Minkowski spacetime is constructed. In a particular partial gauge fixing it reduces to the action found by Perry and Schwarz. The additional gauge symmetries are used to show the off-shell equivalence of the dimensional reduction to D = 5 Minkowski spacetime of the chiral gauge field canonical action and the Born-Infeld canonical action describing an interacting D = 5 Abelian vector field. Its extension to improve the on-shell equivalence arguments of dual D-brane actions to off-shell ones is discussed.