Katrin Becker et al JHEP06(2002)060 doi:10.1088/1126-6708/2002/06/060
Katrin Becker1, Melanie Becker2, Michael Haack3 and Jan Louis4
Show affiliationsWe 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 α'-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 α'-corrections may indeed lead to a stabilization of the radial modulus appearing in these compactifications.
E-print Number: hep-th/0204254
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11.30.Qc Spontaneous and radiative symmetry breaking
Issue 06 (June 2002)
Received 8 May 2002, accepted for publication 28 June 2002
Published 25 July 2002
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