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Construction of a supersymmetric extension of the Skyrme term was a long-standing problem because of the auxiliary field problem; that is, the auxiliary field may propagate and cannot be eliminated, and the problem of having fourth-order time derivative terms.
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P. H. C. Lau and N. S. Manton, “States of Carbon-12 in the Skyrme Model,” Phys. Rev. Lett. 113
2015
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J. M. Queiruga, “Skyrme-like models and supersymmetry in 3+1 dimensions,” Phys. Rev. D 92
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2015
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