R-Symmetries from the Orbifolded Heterotic String
R-Symmetries from the Orbifolded Heterotic String
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DissertationDate of Exam
30.10.2014Date of Publication
20.11.2014Advisor
Förste, StefanCo-Referee
Nilles, Hans PeterMetadata
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Abstract
We examine the geometric origin of discrete R-symmetries in heterotic orbifold compactifications. By analysing the symmetries of the worldsheet instanton solutions and the underlying geometry, we obtain a scheme that allows us to systematically explore the R-symmetries arising in these compactifications. Applying this scheme to a classification of orbifold geometries, we are able to find all R-symmetries of heterotic orbifolds with Abelian point groups. We show that in the vast majority of cases, the R-symmetries found satisfy anomaly universality constraints, as required in heterotic orbifolds. Then we examine the implications of the presence of these R-symmetries on a class of phenomenologically attractive orbifold compactifications known as the heterotic mini-landscape. We use the technique of Hilbert bases in order to analyse the properties of a vacuum configuration. We find that phenomenologically viable models remain and the main attractive features of the mini-landscape are unaltered.
Classification (DDC)
530 PhysikSchmitz, Matthias: R-Symmetries from the Orbifolded Heterotic String. - Bonn, 2014. - Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn.
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5n-38217
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5n-38217
@phdthesis{handle:20.500.11811/6198,
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5n-38217,
author = {{Matthias Schmitz}},
title = {R-Symmetries from the Orbifolded Heterotic String},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2014,
month = nov,
note = {We examine the geometric origin of discrete R-symmetries in heterotic orbifold compactifications. By analysing the symmetries of the worldsheet instanton solutions and the underlying geometry, we obtain a scheme that allows us to systematically explore the R-symmetries arising in these compactifications. Applying this scheme to a classification of orbifold geometries, we are able to find all R-symmetries of heterotic orbifolds with Abelian point groups. We show that in the vast majority of cases, the R-symmetries found satisfy anomaly universality constraints, as required in heterotic orbifolds. Then we examine the implications of the presence of these R-symmetries on a class of phenomenologically attractive orbifold compactifications known as the heterotic mini-landscape. We use the technique of Hilbert bases in order to analyse the properties of a vacuum configuration. We find that phenomenologically viable models remain and the main attractive features of the mini-landscape are unaltered.},
url = {https://hdl.handle.net/20.500.11811/6198}
}
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5n-38217,
author = {{Matthias Schmitz}},
title = {R-Symmetries from the Orbifolded Heterotic String},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2014,
month = nov,
note = {We examine the geometric origin of discrete R-symmetries in heterotic orbifold compactifications. By analysing the symmetries of the worldsheet instanton solutions and the underlying geometry, we obtain a scheme that allows us to systematically explore the R-symmetries arising in these compactifications. Applying this scheme to a classification of orbifold geometries, we are able to find all R-symmetries of heterotic orbifolds with Abelian point groups. We show that in the vast majority of cases, the R-symmetries found satisfy anomaly universality constraints, as required in heterotic orbifolds. Then we examine the implications of the presence of these R-symmetries on a class of phenomenologically attractive orbifold compactifications known as the heterotic mini-landscape. We use the technique of Hilbert bases in order to analyse the properties of a vacuum configuration. We find that phenomenologically viable models remain and the main attractive features of the mini-landscape are unaltered.},
url = {https://hdl.handle.net/20.500.11811/6198}
}
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