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We study the physics of globally consistent four-dimensional $\mathcal{N}=1$ supersymmetric M-theory compactifications on $G_2$ manifolds constructed via twisted connected sum; there are now perhaps fifty million examples of these manifolds.
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M. Cvetic, G. Shiu, and A. M. Uranga, Chiral four-dimensional N=1 supersymmetric type 2A orientifolds from intersecting D6 branes
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M. Cvetic, G. Shiu, and A. M. Uranga, Three family supersymmetric standard - like models from intersecting brane worlds
B. S. Acharya and S. Gukov, M theory and singularities of exceptional holonomy manifolds
2004
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B. S. Acharya, K. Bobkov, G. Kane, P. Kumar, and D. Vaman, An M theory Solution to the Hierarchy Problem
2006
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R. Blumenhagen, M. Cvetic, and T. Weigand, Spacetime instanton corrections in 4D string vacua: The Seesaw mechanism for D-Brane models
2007
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B. S. Acharya, K. Bobkov, G. L. Kane, P. Kumar, and J. Shao, Explaining the Electroweak Scale and Stabilizing Moduli in M Theory
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M. Cvetic, G. W. Gibbons, H. Lu, and C. N. Pope, Cohomogeneity one manifolds of Spin(7) and G(2) holonomy
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M. Cvetic, G. W. Gibbons, H. Lu, and C. N. Pope, M-theory conifolds
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C. Beasley and E. Witten, A Note on fluxes and superpotentials in M theory compactifications on manifolds of G(2) holonomy
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A. Kovalev, Twisted connected sums and special Riemannian holonomy
2003
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M. Kerstan and T. Weigand, Fluxed M5-instantons in F-theory
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