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arXiv · 1712.07083

Non-geometric heterotic backgrounds and 6D SCFTs/LSTs

Anamaría Font·Iñaki García-Etxebarria·Dieter Lust·Stefano Massai·Christoph Mayrhofer
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Abstract

We study ${\mathcal N}=(1,0)$ six-dimensional theories living on defects of non-geometric backgrounds of the $E_8\times E_8$ and the $\text{Spin}(32)/{\mathbb Z}_2$ heterotic strings. Such configurations can be analyzed by dualizing to F-theory on elliptic K3-fibered non-compact Calabi-Yau threefolds. The majority of the resulting dual threefolds turn out to contain singularities which do not admit a crepant resolution. When the singularities can be resolved crepantly, the theories living on the defect are explicitly determined and reveal a form of duality in which distinct defects are described by the same IR fixed point. In particular, a subclass of non-geometric defects corresponds to SCFTs/LSTs arising from small heterotic instantons on ADE singularities.

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Anamaría Font, Iñaki García-Etxebarria, Dieter Lust, Stefano Massai, Christoph Mayrhofer. 2017-12-19. Non-geometric heterotic backgrounds and 6D SCFTs/LSTs. https://arxiv.org/abs/1712.07083

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