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A Note on Fluxes and Superpotentials in M-theory Compactifications on Manifolds of G₂ Holonomy
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A Note on Fluxes and Superpotentials in M-theory Compactifications on Manifolds of G₂ Holonomy
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We consider the breaking of N=1 supersymmetry by non-zero G-flux when M-theory is compactified on a smooth manifold X of G_2 holonomy. Gukov has proposed a superpotential W to describe this breaking in the low-energy effective theory. We check this proposal by comparing the bosonic potential implied by W with the corresponding potential deduced from the eleven-dimensional supergravity action. One interesting aspect of this check is that, though W depends explicitly only on G-flux supported on X, W also describes the breaking of supersymmetry by G-flux transverse to X.
Forward citations
Cited by 2 Pith papers
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EFT (String) Tower Building
Assuming the Integral Scaling Relation and the Emergent String Conjecture, the Kähler potential fixes the UV tower spectrum, and every admissible degree-≤7 tower polytope is a slice of the M-theory G2 polytope.
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Compactifications of the five 10D string theories on generic G2-structure 7-manifolds produce unified 3D N=1 effective theories with full scalar potentials, kinetic terms, and flux data organized via real superpotentials.
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