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arXiv · 1711.10619

G2-structures for N=1 supersymmetric AdS4 solutions of M-theory

Sergey Grigorian
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Abstract

We study the N=1 supersymmetric solutions of D=11 supergravity obtained as a warped product of four-dimensional anti-de-Sitter space with a seven-dimensional Riemannian manifold M. Using the octonion bundle structure on M we reformulate the Killing spinor equations in terms of sections of the octonion bundle on M. The solutions then define a single complexified G2-structure on M or equivalently two real G2-structures. We then study the torsion of these G2-structures and the relationships between them.

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Sergey Grigorian. 2017-11-28. G2-structures for N=1 supersymmetric AdS4 solutions of M-theory. https://doi.org/10.1088/1361-6382%2Faaad4a

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