The local symmetries of M-theory and their formulation in generalised geometry

TL;DR

This paper extends the framework of generalised geometry from string theory to M-theory, deriving the local symmetry structure and the physical section condition within an extended space formulation.

Contribution

It introduces a generalised geometric structure for M-theory, analogous to doubled field theory, and derives the M-theory section condition in this extended space.

Findings

Formulation of local symmetries for M-theory in generalised geometry

Derivation of the M-theory physical section condition

Establishment of a structure similar to doubled field theory for M-theory

Abstract

In the doubled field theory approach to string theory, the T-duality group is promoted to a manifest symmetry at the expense of replacing ordinary Riemannian geometry with generalised geometry on a doubled space. The local symmetries are then given by a generalised Lie derivative and its associated algebra. This paper constructs an analogous structure for M-theory. A crucial by-product of this is the derivation of the physical section condition for M-theory formulated in an extended space.