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String and M-theory Deformations of Manifolds with Special Holonomy

H. Lu·C. N. Pope·K. S. Stelle·P. K. Townsend
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Abstract

The R^4-type corrections to ten and eleven dimensional supergravity required by string and M-theory imply corrections to supersymmetric supergravity compactifications on manifolds of special holonomy, which deform the metric away from the original holonomy. Nevertheless, in many such cases, including Calabi-Yau compactifications of string theory and G_2-compactifications of M-theory, it has been shown that the deformation preserves supersymmetry because of associated corrections to the supersymmetry transformation rules, Here, we consider Spin(7) compactifications in string theory and M-theory, and a class of non-compact SU(5) backgrounds in M-theory. Supersymmetry survives in all these cases too, despite the fact that the original special holonomy is perturbed into general holonomy in each case.

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H. Lu, C. N. Pope, K. S. Stelle, P. K. Townsend. 2005-05-04. String and M-theory Deformations of Manifolds with Special Holonomy. https://doi.org/10.1088/1126-6708%2F2005%2F07%2F075

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