A Tensor Formalism for Exceptional Geometry

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dc.contributor.authorEdlund, Joakim
dc.contributor.departmentChalmers tekniska högskola / Institutionen för fundamental fysiksv
dc.contributor.departmentChalmers University of Technology / Department of Fundamental Physicsen
dc.date.accessioned2019-07-03T13:22:05Z
dc.date.available2019-07-03T13:22:05Z
dc.date.issued2014
dc.description.abstractToroidal 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.
dc.identifier.urihttps://hdl.handle.net/20.500.12380/195735
dc.language.isoeng
dc.setspec.uppsokPhysicsChemistryMaths
dc.subjectGrundläggande vetenskaper
dc.subjectFysik
dc.subjectMatematisk fysik
dc.subjectRelativitetsteori, gravitation
dc.subjectBasic Sciences
dc.subjectPhysical Sciences
dc.subjectMathematical physics
dc.subjectTheory of relativity, gravitation
dc.titleA Tensor Formalism for Exceptional Geometry
dc.type.degreeExamensarbete för masterexamensv
dc.type.degreeMaster Thesisen
dc.type.uppsokH
local.programmeFundamental physics, MSc
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