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

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

2003-11-28

arxiv.org/abs/hep-th/0312002v4

JHEP 0410:019,2004

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 25 pages. Typos corrected, and discussion of M-theory corrections improved

Scientific paper

10.1088/1126-6708/2004/10/019

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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