Abstract
We present new explicit realizations of the most general \( \mathcal{N}=4 \) , d = 1 superconformal symmetry D(2, 1; α) in the models of \( \mathcal{N}=4 \) superconformal mechanics based on the reducible multiplets (1 , 4 , 3) ⊕ (0 , 4 , 4), (3 , 4 , 1) ⊕ (0 , 4 , 4) and (4 , 4 , 0) ⊕ (0 , 4 , 4). We start from the manifestly supersymmetric superfield actions for these systems and then descend to the relevant off- and on-shell component actions from which we derive the D(2, 1; α) (super)charges by the Noether procedure. Some peculiarities of these realizations of D(2, 1; α) are discussed. We also construct a new D(2, 1; α) invariant system by joining the multiplets (3 , 4 , 1) and (4 , 4 , 0) in such a way that they interact with each other through an extra (0 , 4 , 4) multiplet. New fermionic conformal couplings appear as the result of elimination of the appropriate auxiliary fields.
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ArXiv ePrint: 1507.08584
On leave of absence from V.N. Karazin Kharkov National University, Ukraine. (S. Fedoruk)
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Fedoruk, S., Ivanov, E. New realizations of the supergroup D(2, 1; α) in \( \mathcal{N}=4 \) superconformal mechanics. J. High Energ. Phys. 2015, 87 (2015). https://doi.org/10.1007/JHEP10(2015)087
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DOI: https://doi.org/10.1007/JHEP10(2015)087