Counting Associatives in Compact $G_2$ Orbifolds

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Abstract

We describe a class of compact $G_2$ orbifolds constructed from non-symplectic involutions of K3 surfaces. Within this class, we identify a model for which there are infinitely many associative submanifolds contributing to the effective superpotential of M-theory compactifications. Under a chain of dualities, these can be mapped to F-theory on a Calabi-Yau fourfold, and we find that they are dual to an example studied by Donagi, Grassi and Witten. Finally, we give two different descriptions of our main example and the associative submanifolds as a twisted connected sum.
Original languageUndefined/Unknown
JournalJournal of High Energy Physics
Volume2019
Issue number03
DOIs
Publication statusPublished - 10 Dec 2018

Keywords

  • hep-th
  • math.DG

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