TY - JOUR

T1 - On M-theory fourfold vacua with higher curvature terms

AU - Grimm, Thomas W.

AU - Pugh, Tom G.

AU - Weißenbacher, Matthias

N1 - Publisher Copyright:
© 2015 The Authors.

PY - 2015/4/9

Y1 - 2015/4/9

N2 - 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 Kähler 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.

AB - 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 Kähler 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.

UR - http://www.scopus.com/inward/record.url?scp=84924269259&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2015.02.047

DO - 10.1016/j.physletb.2015.02.047

M3 - Article

AN - SCOPUS:84924269259

SN - 0370-2693

VL - 743

SP - 284

EP - 289

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

ER -