Supergravitons interacting with the super-Virasoro group

We describe actions that correspond to the interaction of the super-Virasor o algebra with supergravitons. These new field theories introduce a superfi eld that corresponds to dual elements of the super-Virasoro algebra. Such e lements already appear as background fields in the geometric action associa ted with two-dimensional Polyakov gravity. The actions derived here supply dynamics to these otherwise background fields. We are also able to extend t he definition of these field theories to higher dimensions. We explicitly e xhibit the 2-, 3- and 4-dimensional cases. Remarkably, the fundamental prep otentials describing these dual elements of the super-Virasoro algebra, in each model, agrees with the known prepotentials of the corresponding superg ravity theory. These theories might be important in the quantization of the super-Virasoro group, supergravity and in AdS and super AdS gravity. (C) 2 001 Published by Elsevier Science B.V.