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

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 Author Lu, H. ♦ Pope, C. N. ♦ Stelle, K. S. ♦ Townsend, P. K. Source arXiv.org Content type Text File Format PDF Date of Submission 2003-11-28 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Natural sciences & mathematics ♦ Physics Subject Keyword High Energy Physics - Theory ♦ physics:hep-th 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 Description Reference: JHEP 0410:019,2004 Educational Use Research Learning Resource Type Article Page Count 25