Nonlocal N=1 Supersymmetry

Understand

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.