A Tensor Formalism for Exceptional Geometry
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Typ
Examensarbete för masterexamen
Master Thesis
Master Thesis
Program
Fundamental physics, MSc
Publicerad
2014
Författare
Edlund, Joakim
Modellbyggare
Tidskriftstitel
ISSN
Volymtitel
Utgivare
Sammanfattning
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.
Beskrivning
Ämne/nyckelord
Grundläggande vetenskaper , Fysik , Matematisk fysik , Relativitetsteori, gravitation , Basic Sciences , Physical Sciences , Mathematical physics , Theory of relativity, gravitation