Chiral three-point interactions in 5 and 6 dimensions

Abstract

We study super-Poincaré invariant six-dimensional massless and five-dimensional massive on-shell amplitudes. We demonstrate that in six dimensions, all possible three-point amplitudes involving self-dual tensor multiplets are necessarily embedded in gravitational theories. To obtain non-gravitational amplitudes, we study instead five-dimensional chiral massive amplitudes which can be considered as the KK reduction of six-dimensional chiral theories. We indeed find non-gravitational amplitudes whose on-shell degrees of freedom are shown to match those of the massive particle states that arise from self-dual strings wrapping a circle. Along the way we find interesting hints of a fermionic symmetry in the (2, 0) theory, which accompanies the self-dual tensor gauge symmetry. We also discuss novel theories with (3, 0) and (4, 0) supersymmetry.