Scherk-Schwarz reductions are a generalization of Kaluza-Klein
reductions in which the higher dimensional fields are allowed to
have a dependence on the compactiifed coordinates. This is
possible only if the higher dimensional theory has a global
symmetry and the dependence is dictated by this symmetry. In this
thesis we consider generalised Scherk Schwarz reductions of
supergravity and superstring theories with twists by
electromagnetic dualities that are symmetries of the equations
of motion but not of the action, such as the S-duality of $D=4,
N=4$ super-Yang-Mills coupled to supergravity. The reduction
cannot be done on the action itself, but must be done either on
the field equations or on a duality invariant form of the action,
such as one in the doubled formalism in which potentials are
introduced for both electric and magnetic fields. The resulting
theory in odd dimensions has massive form fields satisfying a
self-duality condition $dA sim m*A$. We apply these methods to
theories in $D=4,6,8$, and obtain new gauged supergravity theories
with massive form fields, with Chern-Simons like couplings and
with a scalar potential in $D=3,5,7$.
| Identifer | oai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/1137561/index.pdf |
| Date | 01 October 2003 |
| Creators | Ozer, Aybike (catal) |
| Contributors | Karasu, Ayse |
| Publisher | METU |
| Source Sets | Middle East Technical Univ. |
| Language | English |
| Detected Language | English |
| Type | Ph.D. Thesis |
| Format | text/pdf |
| Rights | To liberate the content for public access |
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