Split extended supersymmetry from intersecting branes

I. Antoniadis; K. Benakli; A. Delgado; M. Quirós; M. Tuckmantel

doi:10.1016/j.nuclphysb.2006.03.012

paper

Split extended supersymmetry from intersecting branes

arXiv:hep-th/0601003 · doi:10.1016/j.nuclphysb.2006.03.012

Abstract

We study string realizations of split extended supersymmetry, recently proposed in hep-ph/0507192. Supersymmetry is broken by small ( $ε$ ) deformations of intersection angles of $D$ -branes giving tree-level masses of order $m_{0}^{2} \sim ε M_{s}^{2}$ , where $M_{s}$ is the string scale, to localized scalars. We show through an explicit one-loop string amplitude computation that gauginos acquire hierarchically smaller Dirac masses $m_{1/2}^{D} \sim m_{0}^{2} / M_{s}$ . We also evaluate the one-loop Higgsino mass, $μ$ , and show that, in the absence of tree-level contributions, it behaves as $μ \sim m_{0}^{4} / M_{s}^{3}$ . Finally we discuss an alternative suppression of scales using large extra dimensions. The latter is illustrated, for the case where the gauge bosons appear in N=4 representations, by an explicit string model with Standard Model gauge group, three generations of quarks and leptons and gauge coupling unification.

32 pages, 3 figures

Split extended supersymmetry from intersecting branes

Abstract

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