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Acharya, Bobby Samir; Braun, Andreas P.; Svanes, Eirik Eik; Valandro, Roberto

Counting associatives in compact \(G_2\) orbifolds. (English) Zbl 1414.83078

J. High Energy Phys. 2019, No. 3, Paper No. 138, 25 p. (2019).
Summary: 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 R. Donagi et al. [Mod. Phys. Lett. A 11, No. 27, 2199–2211 (1996; Zbl 1022.81675)]. Finally, we give two different descriptions of our main example and the associative submanifolds as a twisted connected sum.

Cited in 12 Documents

MSC:

83E30 String and superstring theories in gravitational theory
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
14J28 \(K3\) surfaces and Enriques surfaces
14J32 Calabi-Yau manifolds (algebro-geometric aspects)
53Z05 Applications of differential geometry to physics

Keywords:

string duality; F-theory; M-theory; D-branes

Citations:

Zbl 1022.81675
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Full Text: DOI arXiv

References:

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