Massless chiral fields in six dimensions

Massless chiral fields of arbitrary spin in six spacetime dimensions, also known as higher spin singletons, admit a simple formulation in terms of SU^*(4) SL(2,H) SU*(4)≅SL(2,ℍ) tensors. We show that, paralleling the four-dimensional case, these fields can be described using a 0 0 -form and a gauge 2 2 -form, taking values in totally symmetric tensors of SU^*(4) SU*(4) . We then exhibit an example of interacting theory that couples a tower of singletons of all integer spin to a background of g 𝔤 -valued higher spin fields, for g 𝔤 an arbitrary Lie algebra equipped with an invariant symmetric bilinear form. Finally, we discuss the formulation of these models in arbitrary even dimensions, as well as their partially-massless counterpart.