Manifestly N = 2 supersymmetric Feynman rules are found for different
off-shell realizations of the massless hypermultiplet in projective su
perspace. When we reduce the Feynman rules to an N = 1 superspace we o
btain the correct component propagators. The Feynman rules are shown t
o be compatible with a ''duality'' that acts only on the auxiliary fie
lds, as well as with the usual duality relating the hypermultiplet to
the tensor multiplet. (C) 1998 Elsevier Science B.V.