Extended Geometry and Magical Supergravities
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Examensarbete för masterexamen
Programme
Model builders
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Abstract
During the last decades, double and exceptional field theory have been introduced
in an attempt to understand the dualities of compactified supergravities from a
geometrical perspective. There has been much work done on this subject where
the exceptional field theories have been intended to understand the symmetries of
M-theory. However, there exists another class of supergravities, which has deep ties
to the Lie groups found in the magical square of Lie algebras, and which has yet to
be understood to full extent. The aim of this thesis is to understand and develop
a formalism using extended geometry for the non-gauged magical supergravities,
more specifically the bosonic sector, in various external dimensions. This includes a
systematic investigation of solutions of the section constraint for general real form
of the internal structure algebra
Description
Keywords
Magical supergravities, Extended geometry, Section constraint, general real forms, Satake diagrams