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We propose Lagrangian formulations of a three-particles translation invariant $N=4$ superconformal mechanics based on the standard and twisted $(1,4,3)$ supermultiplets.
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S. Fedoruk, E. Ivanov, O. Lechtenfeld, JHEP 1004 (2010) 129, arXiv:0912.3508[hep-th]
2010
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O. Lechtenfeld, K. Polovnikov, Phys. Lett. A374
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