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arXiv · hep-th/0312002

Supersymmetric Deformations of G_2 Manifolds from Higher-Order Corrections to String and M-Theory

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

The equations of 10 or 11 dimensional supergravity admit supersymmetric compactifications on 7-manifolds of $G_2$ holonomy, but these supergravity vacua are deformed away from special holonomy by the higher-order corrections of string or M-theory. We find simple expressions for the first-order corrections to the Einstein and Killing spinor equations in terms of the calibrating 3-form of the leading-order G_2-holonomy background. We thus obtain, and solve explicitly, systems of first-order equations describing the corrected metrics for most of the known classes of cohomogeneity-one 7-metrics with G_2 structures

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H. Lu, C. N. Pope, K. S. Stelle, P. K. Townsend. 2004-10-13. Supersymmetric Deformations of G_2 Manifolds from Higher-Order Corrections to String and M-Theory. https://doi.org/10.1088/1126-6708%2F2004%2F10%2F019

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