Heterotic T-fects, 6D SCFTs, and F-Theory

Abstract

We study the $(1,0)$ six-dimensional SCFTs living on defects of non-geometric heterotic backgrounds (T-fects) preserving a $E_7\times E_8$ subgroup of $E_8\times E_8$. These configurations can be dualized explicitly to F-theory on elliptic K3-fibered non-compact Calabi-Yau threefolds. We find that the majority of the resulting dual threefolds contain non-resolvable singularities. In those cases in which we can resolve the singularities we explicitly determine the SCFTs living on the defect. We find a form of duality in which distinct defects are described by the same IR fixed point. For instance, we find that a subclass of non-geometric defects are described by the SCFT arising from small heterotic instantons on ADE singularities.

68 pages, 6 figures

References in corpus (8)

• Double Field Theory
• Doubled Geometry and T-Folds
• 6d Conformal Matter
• Holography for (1,0) theories in six dimensions
• Anomaly polynomial of E-string theories
• K3 surfaces, modular forms, and non-geometric heterotic compactifications
• Type IIB flux vacua from G-theory II
• Type IIB flux vacua from G-theory I

Cited by in corpus (17)

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• Exploring the landscape of heterotic strings on T^d
• Long Multiplet Bootstrap
• Tall sections from non-minimal transformations
• Exceptional $\mathcal{N}=3$ theories
• Back to Heterotic Strings on ALE Spaces: Part I -- Instantons, 2-groups and T-duality
• Unwinding strings in semi-flatland
• Nongeometric heterotic strings and dual F-theory with enhanced gauge groups
• Ubiquity of non-geometry in heterotic compactifications
• E(lementary) Strings in Six-Dimensional Heterotic F-Theory
• Non-Geometric Vacua of the $\text{Spin}(32)/{\mathbb{Z}}_2$ Heterotic String and Little String Theories
• A note on T-folds and T3 fibrations
• Eight-dimensional non-geometric heterotic strings and enhanced gauge groups