We examine the proposal of [29] that M-theory may admit a Sugawara-type current algebra formulation based on $E_{ 11} \otimes_s l_1$. 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 $E_{ 11}$ 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 $E_{ 11}$ Cartan-Killing form to $E_{ 11} \otimes_s l_1$ is degenerate.
Categories: hep-th