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M-theory on compact eight-manifolds with $\mathrm{Spin}(7)$-holonomy is a framework for geometric engineering of 3d $\mathcal{N}=1$ gauge theories coupled to gravity.
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D. D. Joyce, A new construction of compact 8-manifolds with holonomy spin(7) , J. Differential Geom. 53
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K. Becker, A Note on compactifications on spin(7) - holonomy manifolds , JHEP 05
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B. S. Acharya, X. de la Ossa and S. Gukov, G flux, supersymmetry and Spin(7) manifolds , JHEP 09
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2014
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2014
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A. Kovalev, Twisted connected sums and special Riemannian holonomy , J. Reine Angew. Math. 565
2003
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B. S. Acharya and S. Gukov, M theory and singularities of exceptional holonomy manifolds , Phys. Rept. 392
2004
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M. Becker, D. Constantin, S. J. Gates, Jr., W. D. Linch, III, W. Merrell and J. Phillips, M theory on spin(7) manifolds, fluxes and 3-D, N=1 supergravity , Nucl. Phys. B683
2004
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D. Tsimpis, M-theory on eight-manifolds revisited: N=1 supersymmetry and generalized spin(7) structures , JHEP 04
2006
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J. Nordström, Deformations of asymptotically cylindrical g2-manifolds , Mathematical Proceedings of the Cambridge Philosophical Society 145
2008
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2010
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2015
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M. Haskins, H.-J. Hein and J. Nordström, Asymptotically cylindrical Calabi-Yau manifolds , J. Differential Geom. 101
2015
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2015
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J. Halverson and D. R. Morrison, On gauge enhancement and singular limits in G 2
2016
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A. P. Braun, Tops as building blocks for G 2
2017
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2017
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I. V. Melnikov, R. Minasian and S. Sethi, Non-duality in three dimensions , JHEP 10
2017
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2017
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A. Corti, M. Haskins, J. Nordström and T. Pacini, Asymptotically cylindrical Calabi-Yau 3-folds from weak Fano 3-folds , Geom. Topol. 17
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