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

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

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

References in corpus (2)

• Hidden Spacetime Symmetries and Generalized Holonomy in M-theory
• Higher-Order Corrections to Non-Compact Calabi-Yau Manifolds in String Theory

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• Generalised Holonomy for Higher-Order Corrections to Supersymmetric Backgrounds in String and M-Theory
• New Spin(7) holonomy metrics admiting G2 holonomy reductions and M-theory/IIA dualities
• Higher-Order Corrections to Non-Compact Calabi-Yau Manifolds in String Theory
• Flux Compactification of M-theory on Compact Manifolds with Spin(7) Holonomy
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