arxiv: 1608.01652 · v2 · pith:3XQPNFDInew · submitted 2016-08-04 · ✦ hep-th · gr-qc

Nonlocal N=1 Supersymmetry

Tetsuji Kimura , Anupam Mazumdar , Toshifumi Noumi , Masahide Yamaguchi This is my paper

classification ✦ hep-th gr-qc

keywords nonlocalsupersymmetryahlerauxiliarybreakingchiralconditionconstruct

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We construct $\mathcal{N}=1$ supersymmetric nonlocal theories in four dimension. We discuss higher derivative extensions of chiral and vector superfields, and write down generic forms of K\"ahler potential and superpotential up to quadratic order. We derive the condition in which an auxiliary field remains non-dynamical, and the dynamical scalars and fermions are free from the ghost degrees of freedom. We also investigate the nonlocal effects on the supersymmetry breaking and find that supertrace (mass) formula is significantly modified even at the tree level.

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Nonlocal N=1 Supersymmetry

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