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arXiv · 1902.01867

Non-Riemannian geometry of M-theory

David S. Berman·Chris D. A. Blair·Ray Otsuki
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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 $\mathrm{E}_{8(8)}$ 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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David S. Berman, Chris D. A. Blair, Ray Otsuki. 2019-02-05. Non-Riemannian geometry of M-theory. https://doi.org/10.1007/jhep07(2019)175

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