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.
Highlights
String theory admits a rich set of supersymmetric compactifications, giving rise to a vast space of lower dimensional field theories
We study the (1, 0) six-dimensional SCFTs living on defects of non-geometric heterotic backgrounds (T-fects) preserving a E7 ×E8 subgroup of E8 ×E8
In this paper we focus on a class of compactifications of the E8 × E8 heterotic string which are very non-classical, involving compactifications on “spaces” that cannot be globally described as geometries, while remaining accessible thanks to duality with F-theory
Summary
String theory admits a rich set of supersymmetric compactifications, giving rise to a vast space of lower dimensional field theories. The existence of the genus-two description for the heterotic vacua on T 2 with a single Wilson line gives us a formal, but geometric, description of the very non-geometric heterotic compactifications of interest in this paper This viewpoint is fruitful since there exists a classification of the possible degenerations of genus-two fibers over a complex one-dimensional base, obtained by Ogg-Namikawa-Ueno [10, 11]. In appendix E we explain how to extract the matter content from the F-theory resolutions for an explicit example
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