Supersymmetric R2 actions, conformal invariance and the Lorentz Chern-Simons term in 6 and 10 dimensions
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We consider the superconformal extension of R2 actions in 6 and 10 dimensions. We show that the fields of the conformal multiplet alone admit a one parameter family of R2 actions of the form [Rab2 + (Rab2 - 4Ra2 + R2)]. In d=6 we give the supersymmetric action for =0, while for 0 we give partial results. We show that for =0 and in a conformal gauge the 3-form field H{variant} has a natural torsion interpretation. In d=10 we find similar results (except the torsion interpretation) up to variations containing the 7-form field strength. 1987.