We examine the proposal of 29 that M-theory may admit a Sugawara-type current algebra formulation based on Formula: see text Formula: see text Formula: see text. Motivated by the role of generalized coordinates in E-theory, we ask whether current algebra relations of this type can be derived in a setting that includes those coordinates systematically. We show that such a construction can indeed be carried out for a rigid Formula: see text model in which the generalized coordinates are treated as inert under the rigid symmetry, in contrast with E-theory. We also argue that the bilinear form entering the Schwinger term requires closer scrutiny, since any natural ad-invariant extension of the Formula: see text Cartan-Killing form to Formula: see text Formula: see text Formula: see text is degenerate.
Keith Glennon (Thu,) studied this question.