In English

A Tensor Formalism for Exceptional Geometry

Joakim Edlund
Göteborg : Chalmers tekniska högskola, 2014. 90 s.
[Examensarbete på avancerad nivå]

Toroidal compactification of M-theory and its low energy limit, eleven-dimensional supergravity, possess hidden symmetries giving fields additional degrees of freedom. By extending the space-time to accomodate these extra degrees of freedom and constructing a generalised geometry on this space, the U-duality symmetry can be made manifest. The local diffeomorphism invariance is replaced by the larger exceptional groups which also happens to include gauge transformations. In this thesis, a tensor calculus for the exceptional generalised geometry is constructed. The geometrical concepts of diffeomorphisms, torsion, curvature, reducibility, tensors and tensor fields are given a generalised, covariant construction in the toroidally compactified, enhanced space-directions.



Publikationen registrerades 2014-03-26. Den ändrades senast 2015-01-19

CPL ID: 195735

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