Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-04-30
JHEP 0206 (2002) 060
Physics
High Energy Physics
High Energy Physics - Theory
28 pages, no figures, reference added
Scientific paper
10.1088/1126-6708/2002/06/060
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.
Becker Katrin
Becker Melanie
Haack Michael
Louis Jan
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