E(7(7)) and d=11 supergravity
Abstract
Description
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
PhD thesis, 185 pages