Nonlocal N=1 Supersymmetry

Abstract

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 Kähler 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.

12 pages, version published in JHEP

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Cited by in corpus (6)

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• On the one-loop effective potential in nonlocal supersymmetric theories
• More on DBI action in 4D $\mathcal{N}=1$ supergravity
• Two-loop effective potential for general higher-derivative superfield models