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Nonlinear supersymmetry, spontaneous supersymmetry breaking and extra dimensions

Abstract : The subject matter of the present thesis is the partial breaking of N=2 supersymmetry in four and in five spacetime dimensions. In the first case, we study the off-shell nonlinear realization of the broken N=1 superymmetry with the use of nilpotent N=2 superfields that contain the Goldstone degrees of freedom of the massive spin-3/2 multiplet of N=1 supersymmetry. These Goldstino superfields can either be the Maxwell or the single-tensor multiplet. The partial breaking is induced by a combination of magnetic and electric Fayet-Iliopoulos terms, the coefficients of which can be seen as deformation parameters of the transformations of the broken supersymmetry algebra or, futhermore, as deformations of the superfields themselves. Interactions of deformed Goldstino multiplets with undeformed multiplets generate a super-Brout-Englert-Higgs effect but without gravity, in which an N=1 vector multiplet absorbs an N=1 linear multiplet and becomes massive. In the second case, we study on-shell the partial breaking that is induced by the background value of the dilaton that is linear in the extra dimension, with the latter being a toy model of the holographic dual of little string theory. A particular gauging of N=2, D=5 supergravity can accommodate this model, with N=1 supersymmetry remaining intact in four dimensions. Upon compactification of the extra dimension, we find that the introduction of branes is compatible with the direction of the unbroken supersymmetry.
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Chrysoula Markou. Nonlinear supersymmetry, spontaneous supersymmetry breaking and extra dimensions. High Energy Physics - Theory [hep-th]. Sorbonne Université, 2018. English. ⟨NNT : 2018SORUS227⟩. ⟨tel-02481990⟩

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