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Supersymmetry Breaking and α'-Corrections to Flux Induced Potentials

Katrin Becker1, Melanie Becker2, Michael Haack3 and Jan Louis4

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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 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.


Keywords

Supersymmetry Breaking

M-Theory

Superstring Vacua

 

E-print Number: hep-th/0204254

Cited: by |

Refers: to

PACS

11.30.Pb Supersymmetry

04.65.+e Supergravity

11.30.Qc Spontaneous and radiative symmetry breaking

11.25.Yb M theory

11.25.Mj Compactification and four-dimensional models

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

Subjects

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 06 (June 2002)

Received 8 May 2002, accepted for publication 28 June 2002

Published 25 July 2002



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