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arXiv · hep-th/0204254

Supersymmetry Breaking and alpha'-Corrections to Flux Induced Potentials

Katrin Becker·Melanie Becker·Michael Haack·Jan Louis
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Abstract

We obtain the vacuum solutions for M-theory compactified on eight-manifolds with non-vanishing four-form flux by analyzing the scalar potential appearing in the three-dimensional theory. Many of these vacua are not supersymmetric and yet have a vanishing three-dimensional cosmological constant. We show that in the context of Type IIB compactifications on Calabi-Yau threefolds with fluxes and external brane sources alpha'-corrections generate a correction to the supergravity potential proportional to the Euler number of the internal manifold which spoils the no-scale structure appearing in the classical potential. This indicates that alpha'-corrections may indeed lead to a stabilization of the radial modulus appearing in these compactifications.

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Katrin Becker, Melanie Becker, Michael Haack, Jan Louis. 2002-10-03. Supersymmetry Breaking and alpha'-Corrections to Flux Induced Potentials. https://doi.org/10.1088/1126-6708%2F2002%2F06%2F060

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