  Massive higher spin fields are notoriously difficult to introduce
interactions when they are described by symmetric (spin)-tensors. An
alternative approach is to use chiral description that does not have unphysical
longitudinal modes. For low spin fields we show that chiral and symmetric
approaches can be related via a family of invertible change of variables
(equivalent to parent actions), which should facilitate introduction of
consistent interactions in the symmetric approach and help to control parity in
the chiral one. We consider some examples of electromagnetic and gravitational
interactions and their transmutations when going to the chiral formulation. An
interesting feature of the relation is how second class constraints get
eliminated while preserving Lorentz invariance.
