A Tensor Formalism for Exceptional Geometry

Examensarbete för masterexamen

Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.12380/195735
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Type: Examensarbete för masterexamen
Master Thesis
Title: A Tensor Formalism for Exceptional Geometry
Authors: Edlund, Joakim
Abstract: 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.
Keywords: Grundläggande vetenskaper;Fysik;Matematisk fysik;Relativitetsteori, gravitation;Basic Sciences;Physical Sciences;Mathematical physics;Theory of relativity, gravitation
Issue Date: 2014
Publisher: Chalmers tekniska högskola / Institutionen för fundamental fysik
Chalmers University of Technology / Department of Fundamental Physics
URI: https://hdl.handle.net/20.500.12380/195735
Collection:Examensarbeten för masterexamen // Master Theses



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