English

Non-Riemannian geometry of M-theory

High Energy Physics - Theory 2019-08-02 v3 General Relativity and Quantum Cosmology

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)\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.

Keywords

Cite

@article{arxiv.1902.01867,
  title  = {Non-Riemannian geometry of M-theory},
  author = {David S. Berman and Chris D. A. Blair and Ray Otsuki},
  journal= {arXiv preprint arXiv:1902.01867},
  year   = {2019}
}

Comments

46 pages + appendices, v2: refs added, v3: matches published version