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Due to their explicit construction, Aloff-Wallach spaces are prominent in flux compactifications.
S. Aloff and N. Wallach, “An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures,” Bull. Amer. Math. Soc. 81
1975
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E. Corrigan, C. Devchand, D.B. Fairlie and J. Nuyts, “First order equations for gauge fields in spaces of dimension greater than four,” Nucl. Phys. B 214
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R.S. Ward, “Completely solvable gauge field equations in dimension greater than four,” Nucl. Phys. B 236
1984
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S.K. Donaldson, “Anti-self-dual Yang-Mills connections on a complex algebraic surface and stable vector bundles,” Proc. Lond. Math. Soc. 50
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M.B. Green, J.H. Schwarz and E. Witten, Superstring theory
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A. Strominger, “Superstrings with torsion,” Nucl. Phys. B 274
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D.B. Fairlie and J. Nuyts, “Spherically symmetric solutions of gauge theories in eight dimensions,” J. Phys. A 17
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F.M. Cabrera, M.D. Monar and A.F. Swann, “Classification of G 2 G_{2} -structures,” J. London Math. Soc. 53
1997
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M. Mamone Capria and S.M. Salamon, “Yang-Mills fields on quaternionic spaces,” Nonlinearity 1
1998
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L. Baulieu, H. Kanno and I.M. Singer, “Special quantum field theories in eight and other dimensions,” Commun. Math. Phys. 194
1998
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S.K. Donaldson and R.P. Thomas, “Gauge theory in higher dimensions,” in: The Geometric Universe
1998
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C. Lewis, “Spin(7) instantons”, PhD thesis, Oxford University, 1998
1998
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M. Cvetic, G.W. Gibbons, H. Lu and C.N. Pope, “Hyper-Kähler Calabi metrics, L 2 harmonic forms, resolved M2-branes, and AdS 4 /CFT 3 correspondence,” Nucl. Phys. B 617
2002
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M. Grana, “Flux compactifications in string theory: A comprehensive review,” Phys. Rept. 423
2007
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2008
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H.N. Sà Earp, “Instantons on G 2 G_{2} -manifolds”, PhD thesis, Imperial College London, 2009
2009
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2010
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2010
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H. Kanno and Y. Yasui, “On Spin(7) holonomy metric based on SU(3)/U(1),” J. Geom. Phys. 43
2002
Cited alongside, same era.
S. Gukov and J. Sparks, “M-theory on Spin(7) manifolds. I,” Nucl. Phys. B 625
2002
Cited alongside, same era.
G. Tian, “Gauge theory and calibrated geometry,” Ann. Math. 151
2004
Cited alongside, same era.
2010
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