E(7(7)) and d=11 supergravity

Abstract

This thesis firstly investigates whether D=11 supergravity can be lifted to a higher dimensional theory without introducing additional bosonic fields by interpreting the E(7(7))-symmetry of N=8 d=4 supergravity as part of a coordinate symmetry acting in a 60 dimensional restricted or exceptional geometry. It is proved that the supersymmetry variations of D=11 supergravity, truncated to d=7, can be reproduced from this exceptional geometry in the expected manner. Secondly, Borisov's and Ogievetsky's procedure to construct a theory with diffeomorphism covariance from the joint non-linear realization of the affine linear subgroup of diffeomorphisms with the conformal one is reviewed in detail, which is then extended by discussing torsion in this context.

PhD thesis, 185 pages

References in corpus (3)

• $E_{11}$, SL(32) and Central Charges
• A Higgs Mechanism for Gravity
• The topology of U-duality (sub-)groups

Cited by in corpus (10)

• U-duality extension of Drinfel'd double
• Generalised geometry, eleven dimensions and E11
• Supergravity as Generalised Geometry II: $E_{d(d)}\times {\mathbb{R}}^{+}$ and M theory
• Generalised diffeomorphisms for E${}_9$
• E7(7) invariant Lagrangian of d=4 N=8 supergravity
• E11, generalised space-time and equations of motion in four dimensions
• Weaving the Exotic Web
• Branes in Extended Spacetime: Brane Worldvolume Theory Based on Duality Symmetry
• Generalised Space-time and Gauge Transformations
• E11 and exceptional field theory