Year: 2026
Type: article
Abstract: In this paper, we examine the proposal of [H. Sugawara, Int. J. Mod. Phys. A 32 (2017) 1750024, arXiv:1701.06894] that M-theory may admit a Sugawara-type current algebra formulation based on [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] is degenerate.
Author: Keith Glennon
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7160157706
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