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

• Published in: The journal of high energy physics Vol. 2012; no. 1
• Main Authors: Berman, David S., Godazgar, Hadi, Godazgar, Mahdi, Perry, Malcolm J.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 01-01-2012; Springer Nature B.V
• Subjects: Classical and Quantum Gravitation; Elementary Particles; Field theory; Geometry; High energy physics; M theory; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Relativity Theory; String Theory; M-Theory; String Duality; Space-Time Symmetries
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP01(2012)012

A
bstract
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 the extended geometry of M-theory. A crucial by-product of this construction is the derivation of the physical section condition for M-theory formulated in an extended space.