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arXiv · 1706.05232

Supersymmetry Breaking in Spatially Modulated Vacua

Muneto Nitta·Shin Sasaki·Ryo Yokokura
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Abstract

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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Muneto Nitta, Shin Sasaki, Ryo Yokokura. 2017-06-16. Supersymmetry Breaking in Spatially Modulated Vacua. https://doi.org/10.1103/physrevd.96.105022

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