Supersymmetric R Sup 2 -Actions, Conformal Invariance and Lorentz Chern-Simons Term in 6 and 10 Dimensions

摘要

We consider the superconformal extension of R sup 2 -actions in 6 and 10 dimensions. We show that the fields of the conformal multiplet alone admit a one parameter family of R sup 2 -actions of the form phi(Rsub( mu nu ab) sup 2 + alpha (Rsub( mu nu ab) sup 2 sup - 4 Rsub( mu a) sup 2 + R sup 2 )). In d=6 we give the supersymmetric action for alpha =0, while for alpha not=0 we give partial results. We show that for alpha =0 and in a conformal gauge the 3-form field Hsub( mu nu rho) 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. 23 refs, 2 tabs. (Atomindex citation 17:063345)