Mapping the vacuum structure of gauged maximal supergravities: an application of high performance symbolic algebra
Fischbacher, Thomas (2003) Mapping the vacuum structure of gauged maximal supergravities: an application of high performance symbolic algebra. Humboldt Universitaet zu Berlin, School of Physics, Doctoral Thesis , 140pp.
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Description/Abstract
The analysis of the extremal structure of the scalar potentials of gauged maximally extended supergravity models in five, four, and three dimensions, and hence the determination of possible vacuum states of these models is a computationally challenging task due to the occurrence of the exceptional Lie groups $E_6$, $E_7$, $E_8$ in the definition of these potentials. At present, the most promising approach to gain information about nontrivial vacua of these models is to perform a truncation of the potential to submanifolds of the $G/H$ coset manifold of scalars which are invariant under a subgroup of the gauge group and of sufficiently low dimension to make an analytic treatment possible.
New tools are presented which allow a systematic and highly effective study of these potentials up to a previously unreached level of complexity. Explicit forms of new truncations of the potentials of four- and three-dimensional models are given, and for N=16, D=3 supergravities, which are much more rich in structure than their higher-dimensional cousins, a series of new nontrivial vacua is identified and analysed
| Item Type: | Thesis (Doctoral) |
|---|---|
| Additional Information: | This thesis won the Max Planck Society's Otto Hahn Medal |
| Related URLs: | |
| Keywords: | symbolic algebra, supergravity, databases, optimization, sparse higher rank tensors, spontaneous symmetry breaking, topological field theory |
| Subjects: | Q Science > QC Physics |
| Divisions: | University Structure - Pre August 2011 > School of Engineering Sciences > Computational Engineering and Design |
| Item ID: | 46366 |
| Date Deposited: | 22 Jun 2007 |
| Last Modified: | 02 Mar 2012 12:08 |
| Contributors: | Fischbacher, Thomas (Author) |
| Date: | May 2003 |
| Additional Information: | This thesis won the Max Planck Society's Otto Hahn Medal |
| Status: | Unpublished |
| URI: | http://eprints.soton.ac.uk/id/eprint/46366 |
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