Abstract
We construct type I string models with supersymmetry broken by compactifi- cation that are non-tachyonic and have exponentially small effective potential at one-loop. All open string moduli can be stabilized, while the closed string moduli remain massless at one-loop. The backgrounds of interest have rigid Wilson lines by the use of stacked branes, and some models should have heterotic duals. We also present non-tachyonic backgrounds with positive potentials of runaway type at one-loop. This class of models could be used to test various swampland conjectures.
Highlights
Level, rather than postponing it to the supersymmetric effective field theory
The scale M of supersymmetry breaking is of order Ms/R, where R is the characteristic radius1 of the internal space involved in the mechanism
We find backgrounds with n(F0)−n(B0) > 0 that are non-tachyonic at 1-loop and where M slides to low supersymmetry breaking scale along its positive potential
Summary
D8-branes and two O8-planes located at X 9 = 0 and X 9 = πR9, where R9 = 1/R9 As sketched in the introduction, a sufficient condition for the effective potential V to be at a (local) minimum, maximum or saddle point is that the configuration does not yield masses M such that. Be “attractors”, as eq (2.3) shows that in this case super-Higgs and Higgs effects can combine to yield massless fermions (necessary to have n(F0) > 0 as desired), with their bosonic superpartners acquiring a mass M. This “fake supersymmetry” holds for arbitrary winding number n9 (i.e. for the whole KK tower in the original type I picture). As the leading term in the effective potential is a supertrace, the contributions of these modes to V cancels. Eq (1.1) is still valid in these special cases, even though as we will see V has no reason to be generically critical at such a point
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