We study spontaneous supersymmetry breaking in spatially modulated stable or metastable vacua in supersymmetric field theories. Such spatial modulation can be realized in a higher derivative chiral model for which vacuum energies are positive, negative, or zero, depending on the model parameters. There appears a Nambu-Goldstone boson associated with the spontaneous breaking of the translational and U(1) symmetries without the quadratic kinetic term and with a quartic derivative term in the modulated direction, and a gapless Higgs mode. We show that there appears a Goldstino associated with the supersymmetry breaking at a metastable vacuum, where energy is positive, while it becomes a fermionic ghost in the negative energy vacuum, and zero norm state and disappears from the physical sector in the zero energy vacuum.
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