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.

arXiv comment12 pages, version published in JHEP

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• Higgs Mechanism in Nonlocal Field Theories
• Ghost-free vector superfield actions in supersymmetric higher-derivative theories
• On supersymmetric gauge theories with higher derivatives and nonlocal terms in the matter sector
• One-loop effective potential in the non-local supersymmetric gauge theory
• Hamiltonian Analysis for Infinite Derivative Field Theories and Gravity
• On the one-loop effective potential in nonlocal supersymmetric theories
• More on DBI action in 4D $\mathcal{N}=1$ supergravity
• Ghost-free scalar-fermion interactions
• Aspects and applications of nonlocal Lorentz-violation
• Two-loop effective potential for general higher-derivative superfield models