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Flux Superpotential in Heterotic M-theory

Lilia Anguelova·Konstantinos Zoubos
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Abstract

We derive the most general flux-induced superpotential for N=1 M-theory compactifications on seven-dimensional manifolds with SU(3) structure. Imposing the appropriate boundary conditions, this result applies for heterotic M-theory. It is crucial for the latter to consider SU(3) and not G_2 group structure on the seven-dimensional internal space. For a particular background that differs from CY(3) x S^1/Z_2 only by warp factors, we investigate the flux-generated scalar potential as a function of the orbifold length. We find a positive cosmological constant minimum, however at an undesirably large value of this length. Hence the flux superpotential alone is not enough to stabilize the orbifold length at a de Sitter vacuum. But it does modify substantially the interplay between the previously studied non-perturbative effects, possibly reducing the significance of open membrane instantons while underlining the importance of gaugino condensation.

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Lilia Anguelova, Konstantinos Zoubos. 2006-07-05. Flux Superpotential in Heterotic M-theory. https://doi.org/10.1103/physrevd.74.026005

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