On interpolations from SUSY to non-SUSY strings and their properties

Abstract

The interpolation from supersymmetric to non-supersymmetric heterotic theories is studied, via the Scherk-Schwarz compactification of supersymmetric 6D theories to 4D. A general modular-invariant Scherk-Schwarz deformation is deduced from the properties of the 6D theories at the endpoints, which significantly extends previously known examples. This wider class of non-supersymmetric 4D 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 6D theories related by a T-duality transformation, with intermediate 4D maximum or minimum at the string scale; a non-supersymmetric 6D theory interpolating to a supersymmetric 6D theory, with the 4D theory possibly having an AdS minimum; a "metastable" non-supersymmetric 6D theory interpolating via a 4D theory to a supersymmetric 6D theory.

21 pages, 5 figures, improved figure, background and appendix

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• GUT Precursors and Entwined SUSY: The Phenomenology of Stable Non-Supersymmetric Strings
• Classification of Standard-like Heterotic-String Vacua
• Stability, enhanced gauge symmetry and suppressed cosmological constant in 9D heterotic interpolating models
• N=2 -> 0 super no-scale models and moduli quantum stability
• Classification of Non-Supersymmetric Pati-Salam Heterotic String Models
• Towards the Classification of Tachyon-Free Models From Tachyonic Ten-Dimensional Heterotic String Vacua
• Stable Three Generation Standard--like Model From a Tachyonic Ten Dimensional Heterotic--String Vacuum
• Classification of Left-Right Symmetric Heterotic String Vacua
• Marginal deformations of heterotic interpolating models and exponential suppression of the cosmological constant
• String Phenomenology From a Worldsheet Perspective
• Exponentially suppressed cosmological constant with enhanced gauge symmetry in heterotic interpolating models
• Super No-Scale Models with Pati-Salam Gauge Group
• A Solution to the Decompactification Problem in Chiral Heterotic Strings
• Target Space Duality of Non-Supersymmetric String Theory
• Interpolation and Exponentially Suppressed Cosmological Constant in Non-Supersymmetric Heterotic Strings with General ${\mathbb{Z}}_2$ Twists
• Three-Generation Super No-Scale Models in Heterotic Superstrings
• Towards Classification of $\mathcal{N}=1$ and $\mathcal{N}=0$ Flipped $SU(5)$ Asymmetric ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ Heterotic String Orbifolds
• Free Fermionic Constructions of Heterotic Strings