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Stability in maximal supergravity

Bielleman S., (2014) Stability in maximal supergravity. Master's Thesis / Essay, Physics.

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Abstract

In this thesis, we look for a bound on the lightest scalar mass in maximal supergravity. The goal of this thesis is to find a direction on the scalar manifold of maximal supergravity, $E_{7(7)}/SU(8)$, that always has a negative mass when the scalar potential has a positive value. Such a direction would prove that there are no stable de Sitter vacua in maximal supergravity. We give short introductions on stability, supersymmetry and supersymmetric field theories. Then, we study attempts to find a bound on the lightest scalar mass in $mathcal{N}=1,2$ (local) supersymmetric theories, cite{Lightest scalar} and cite{Scrucca}. After this discussion, we move to maximal supergravity and discuss several possible directions, inspired by sponteneous supersymmetry breaking and the sGoldstini, with which to project the scalar mass matrix. Unfortunately, we find a counter example (vacuum for which the projection gives a positive value) for all of the directions we consider. This does not imply that there exist stable de Sitter vacua but we are unable to prove that there aren't any.

Item Type: Thesis (Master's Thesis / Essay)
Degree programme: Physics
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 15 Feb 2018 07:58
Last Modified: 15 Feb 2018 07:58
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/12118

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