Tensor hierarchies, Borcherds algebras and E11

@article{Palmkvist2012TensorHB,
  title={Tensor hierarchies, Borcherds algebras and E11},
  author={Jakob Palmkvist},
  journal={Journal of High Energy Physics},
  year={2012},
  volume={2012},
  pages={1-20}
}
  • Jakob Palmkvist
  • Published 21 October 2011
  • Physics
  • Journal of High Energy Physics
A bstractGauge deformations of maximal supergravity in D = 11 − n dimensions generically give rise to a tensor hierarchy of p-form fields that transform in specific representations of the global symmetry group En. We derive the formulas defining the hierarchy from a Borcherds superalgebra corresponding to En. This explains why the En representations in the tensor hierarchies also appear in the level decomposition of the Borcherds superalgebra. We show that the indefinite Kac-Moody algebra E11… 
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