Non-Riemannian geometry of M-theory

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.

arXiv comment46 pages + appendices, v2: refs added, v3: matches published version

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• Non-Relativistic Gravity and its Coupling to Matter
• Relating non-relativistic string theories
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• The Geometry, Branes and Applications of Exceptional Field Theory
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• A worldsheet supersymmetric Newton-Cartan string
• Remarks on the non-Riemannian sector in Double Field Theory
• String Theory and non-Riemannian Geometry
• Non-relativistic duality and $T\bar{T}$ deformations
• Nonrelativistic Approximations of Closed Bosonic String Theory
• The Classical Double Copy for M-theory from a Kerr-Schild Ansatz for Exceptional Field Theory
• Non-Riemannian isometries from double field theory
• Non-Riemannian gravity actions from double field theory
• Geometrizing non-relativistic bilinear deformations
• Non-Lorentzian IIB Supergravity from a Polynomial Realization of SL(2,R)
• Non-abelian U-duality at work
• Fractons, non-Riemannian Geometry, and Double Field Theory
• Identifying Riemannian singularities with regular non-Riemannian geometry
• Post-Newtonian Feasibility of the Closed String Massless Sector
• Stringy Newton Gravity with $H$-flux
• Double Field Theory and Geometric Quantisation
• Type II Double Field Theory in Superspace
• A note on Faddeev--Popov action for doubled-yet-gauged particle and graded Poisson geometry
• Notes on Ramond-Ramond spinors and bispinors in double field theory
• Traversable wormhole for string, but not for particle
• Reductions of Exceptional Field Theories
• $\beta \gamma$-systems interacting with sigma-models
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• World-volume Effective Theories of Locally Non-geometric Branes