The tensor hierarchy algebra

@article{Palmkvist2014TheTH,
  title={The tensor hierarchy algebra},
  author={Jakob Palmkvist},
  journal={Journal of Mathematical Physics},
  year={2014},
  volume={55},
  pages={011701}
}
  • Jakob Palmkvist
  • Published 30 April 2013
  • Mathematics, Physics
  • Journal of Mathematical Physics
We introduce an infinite-dimensional Lie superalgebra which is an extension of the U-duality Lie algebra of maximal supergravity in D dimensions, for 3 ⩽ D ⩽ 7. The level decomposition with respect to the U-duality Lie algebra gives exactly the tensor hierarchy of representations that arises in gauge deformations of the theory described by an embedding tensor, for all positive levels p. We prove that these representations are always contained in those coming from the associated Borcherds-Kac… Expand
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