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arXiv · hep-th/0203061

A Note on Fluxes and Superpotentials in M-theory Compactifications on Manifolds of G_2 Holonomy

Chris Beasley·Edward Witten
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Abstract

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.

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Chris Beasley, Edward Witten. 2002-08-12. A Note on Fluxes and Superpotentials in M-theory Compactifications on Manifolds of G_2 Holonomy. https://doi.org/10.1088/1126-6708%2F2002%2F07%2F046

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