This paper presents a comprehensive framework for deriving current algebra constraints from exceptional field theory with explicit coordinate dependence, using E11 exceptional field theory and its semi-direct product structure with coordinate representation l1.
Key findings
Develops a systematic approach to construct Sugawara-type current algebras respecting generalized diffeomorphism invariance.
Addresses the challenge of incorporating coordinate dependence into the algebraic structure while maintaining closure constraints.
Derives explicit current algebra relations, analyzes the Schwinger term structure, and establishes the connection to the tensor hierarchy algebra.
Limitations & open questions
Further research is needed to fully understand the implications of the proposed framework in the context of M-theory.
The interplay between the tensor hierarchy algebra and current commutators requires deeper investigation.