Canonical structure of the E10 model and supersymmetry

  title={Canonical structure of the E10 model and supersymmetry},
  author={Axel Kleinschmidt and Hermann Nicolai and Nitin Kumar Chidambaram},
  journal={Physical Review D},
A coset model based on the hyperbolic Kac–Moody algebra E10 has been conjectured to underly eleven-dimensional supergravity and M theory. In this note we study the canonical structure of the bosonic model for finite- and infinite-dimensional groups. In the case of finite-dimensional groups like GL(n) we exhibit a convenient set of variables with Borel-type canonical brackets. The generalisation to the Kac–Moody case requires a proper treatment of the imaginary roots that remains elusive. As a… 
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