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Supersymmetry Breaking in Spatially Modulated Vacua

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We study spontaneous supersymmetry breaking in spatially modulated stable or meta-stable vacua in supersymmetric field theories. Such spatial modulation can be realized in a higher derivative chiral model for which vacuum energies are either positive, negative or zero, depending on the model parameters. There appears a Nambu-Goldstone boson associated with the spontaneously 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 meta-stable 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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  • Dislocations and crystallization dynamics of chiral soliton lattices hep-th · 2025-06-19 · conditional · none · ref 32 · internal anchor

    A modified axion model with a B-dependent topological coupling shows numerically that chiral soliton lattices form dynamically through transient edge and screw dislocations, including a stable DNA-like double helix.