Journal of High Energy Physics (Jul 2019)

Non-Riemannian geometry of M-theory

  • David S. Berman,
  • Chris D. A. Blair,
  • Ray Otsuki

DOI
https://doi.org/10.1007/JHEP07(2019)175
Journal volume & issue
Vol. 2019, no. 7
pp. 1 – 53

Abstract

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Abstract We construct a background for M-theory that is moduli free. This background is then shown to be related to a topological phase of the E8(8) exceptional field theory (ExFT). The key ingredient in the construction is the embedding of non-Riemannian geometry in ExFT. This allows one to describe non-relativistic geometries, such as Newton-Cartan or Gomis-Ooguri-type limits, using the ExFT framework originally developed to describe maximal supergravity. This generalises previous work by Morand and Park in the context of double field theory.

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