Fluxes in M-theory on 7-manifolds: G-structures and Superpotential
Klaus Behrndt, Claus Jeschek
TL;DR
This paper investigates M-theory compactifications on 7-manifolds with fluxes, analyzing supersymmetry constraints and deriving the associated 4D superpotential, especially focusing on SU(3) structures and spinor configurations.
Contribution
It provides a detailed derivation of flux constraints and superpotential for M-theory on 7-manifolds with SU(3) structures, extending understanding of flux compactifications.
Findings
Supersymmetry imposes specific flux constraints.
Derived explicit form of the 4D superpotential.
Identified conditions for SU(3) structure support.
Abstract
We consider compactifications of M-theory on 7-manifolds in the presence of 4-form fluxes, which leave at least four supercharges unbroken. We focus especially on the case, where the 7-manifold supports two spinors which are SU(3) singlets and the fluxes appear as specific SU(3) structures. We derive the constraints on the fluxes imposed by supersymmetry and calculate the resulting 4-dimensional superpotential.
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