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arXiv · 1408.5136

On M-theory fourfold vacua with higher curvature terms

Thomas W. Grimm·Tom G. Pugh·Matthias Weissenbacher
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Abstract

We study solutions to the eleven-dimensional supergravity action, including terms quartic and cubic in the Riemann curvature, that admit an eight-dimensional compact space. The internal background is found to be a conformally Kahler manifold with vanishing first Chern class. The metric solution, however, is non-Ricci-flat even when allowing for a conformal rescaling including the warp factor. This deviation is due to the possible non-harmonicity of the third Chern-form in the leading order Ricci-flat metric. We present a systematic derivation of the background solution by solving the Killing spinor conditions including higher curvature terms. These are translated into first-order differential equations for a globally defined real two-form and complex four-form on the fourfold. We comment on the supersymmetry properties of the described solutions.

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Thomas W. Grimm, Tom G. Pugh, Matthias Weissenbacher. 2014-08-21. On M-theory fourfold vacua with higher curvature terms. https://doi.org/10.1016/j.physletb.2015.02.047

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