4.3 Article

Splitting supersymmetry in string theory

Journal

NUCLEAR PHYSICS B
Volume 715, Issue 1-2, Pages 120-140

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ELSEVIER
DOI: 10.1016/j.nuclphysb.2005.03.005

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We point out that type I string theory in the presence of internal magnetic fields provides a concrete realization of split supersymmetry. To lowest order, gauginos are massless while squarks and sleptons are superheavy. We build such realistic U(3) x U(2) x U(I) models on stacks of magnetized D9-branes. Though not unified into a simple group, these theories preserve the successful supersymmetric relation of gauge couplings, as they start out with equal SU(3) and SU(2) couplings and the correct initial sin(2) theta(W) at the compactification scale Of M-GUT similar or equal to 2 x 10(16) GeV, and they have the minimal low-energy particle content of split supersymmetry. We also propose a mechanism in which the gauginos and higgsinos are further protected by a discrete R-symmetry against gravitational corrections, as the gravitino gets an invariant Dirac mass by pairing with a member of a Kaluza-Klein tower of spin-3/2 particles. In addition to the models proposed here, split supersymmetry offers novel strategies for realistic model-building. So, TeV-scale string models previously dismissed because of rapid proton decay, or incorrect sin(2) theta(W), or because there were no unused dimensions into which to dilute the strength of gravity, can now be reconsidered as candidates for realistic split theories with string scale near MGUT, as long as the gauginos and higgsinos remain light. (c) 2005 Elsevier B.V. All fights reserved.

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