The effective action of warped M-theory reductions with higher-derivative terms - Part II

Abstract

We study the three-dimensional effective action obtained by reducing eleven-dimensional supergravity with higher-derivative terms on a background solution including a warp-factor, an eight-dimensional compact manifold, and fluxes. The dynamical fields are Kähler deformations and vectors from the M-theory three-form. We show that the potential is only induced by fluxes and the naive contributions obtained from higher-curvature terms on a Calabi-Yau background vanish once the back-reaction to the full solution is taken into account. For the resulting three-dimensional action we analyse the Kähler potential and complex coordinates and show compatibility with N=2 supersymmetry. We argue that the higher-order result is also compatible with a no-scale condition. We find that the complex coordinates should be formulated as divisor integrals for which a non-trivial interplay between the warp-factor terms and the higher-curvature terms allow a derivation of the moduli space metric. This leads us to discuss higher-derivative corrections to the M5-brane action.

26 pages

References in corpus (6)

• Warped Supersymmetry Breaking
• F-theory at order ${\alpha }^{\prime 3}$
• Warping the Kähler potential of F-theory/IIB flux compactifications
• On M-theory fourfold vacua with higher curvature terms
• The ${\alpha }^{\prime }$ Expansion On A Compact Manifold Of Exceptional Holonomy
• 3d N=1 effective supergravity and F-theory from M-theory on fourfolds

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• Multiple Fibrations in Calabi-Yau Geometry and String Dualities
• Warped Kähler potentials and fluxes
• Effective Theory of Warped Compactifications and the Implications for KKLT
• The Euler characteristic correction to the Kaehler potential - revisited
• ${\alpha }^{\prime }$-Corrections and de Sitter Vacua - a Mirage?
• On Mirror Symmetry for Calabi-Yau Fourfolds with Three-Form Cohomology
• Moduli identification methods in Type II compactifications
• The DBI Action, Higher-derivative Supergravity, and Flattening Inflaton Potentials
• Higher-Derivative Supergravity and Moduli Stabilization
• 3d N=1 effective supergravity and F-theory from M-theory on fourfolds