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Large hierarchies from approximate R symmetries.
Rolf Kappl1, Hans Peter Nilles, Saúl Ramos-Sánchez
1Physik Department T30, Technische Universität München, James-Franck-Strasse, 85748 Garching, Germany.
Hierarchically small vacuum expectation values in supersymmetric theories arise from approximate R symmetry. This finding aids in understanding moduli stabilization and the vast scale hierarchy in physics.
Area of Science:
- Theoretical Physics
- High Energy Physics
- Cosmology
Background:
- Supersymmetric theories postulate symmetry between bosons and fermions.
- The hierarchy problem in physics concerns the large difference between the Planck scale and the electroweak scale.
- Moduli stabilization is crucial for constructing realistic string theory models.
Purpose of the Study:
- To investigate the origin of small vacuum expectation values in supersymmetric theories.
- To explore the implications of approximate R symmetry for these values.
- To connect these findings to moduli stabilization and the Planck-electroweak hierarchy.
Main Methods:
- Analysis of supersymmetric theories.
- Investigation of R symmetry properties.
- Theoretical exploration of vacuum expectation values.
Main Results:
- Demonstrated that approximate R symmetry naturally leads to hierarchically small vacuum expectation values.
- Established a link between R symmetry, small vacuum expectation values, and moduli stabilization.
Conclusions:
- Approximate R symmetry provides a mechanism for generating small superpotential values.
- This mechanism offers insights into the immense hierarchy between fundamental physical scales.
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