An off-shell superspace R2-action in six dimensions

The superspace constraints corresponding to the two inequivalent versions of the 40+40 off-shell Weyl multiplet in six dimensions are given. A supersymmetric R2-action (including quartic fermion terms) for one of the two Weyl multiplets is constructed. A crucial role in this construction is played by the observation that there exists a formal relationship between the Weyl and Yang-Mills multiplets. Both the supersymmetric R2-action and the supersymmetric Yang-Mills F2-action coupled to the Weyl multiplet are reformulated as superspace actions. (orig.)