Abstract
The interpolation from supersymmetric to nonsupersymmetric heterotic theories is studied, via the Scherk-Schwarz compactification of supersymmetric theories to . A general modular-invariant Scherk-Schwarz deformation is deduced from the properties of the theories at the endpoints, which significantly extends previously known examples. This wider class of nonsupersymmetric theories opens up new possibilities for model building. The full one-loop cosmological constant of such theories is studied as a function of compactification radius for a number of cases, and the following interpolating configurations are found: two supersymmetric theories related by a -duality transformation, with intermediate maximum or minimum at the string scale; a nonsupersymmetric theory interpolating to a supersymmetric theory, with the theory possibly having an anti–de Sitter minimum; and a “metastable” nonsupersymmetric theory interpolating via a theory to a supersymmetric theory.
- Received 30 March 2017
DOI:https://doi.org/10.1103/PhysRevD.95.106001
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