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

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Summary

General setup

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

Brane configurations
Effective potential
Algebraic stability conditions
Geometric and algebraic picture
Extension of the domain of validity
Nonperturbative analysis of the models
Comments on swampland conjectures
Conclusions and perspectives
Conventions and notations
Massless spectrum and potential in 9 dimensions
Massless spectrum and potential in D dimensions
Full Text
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