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arXiv · 1507.08584

New realizations of the supergroup D(2,1;α) in N=4 superconformal mechanics

S. Fedoruk·E. Ivanov
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Abstract

We present new explicit realizations of the most general N=4, d=1 superconformal symmetry D(2,1;α) in the models of N=4 superconformal mechanics based on the reducible multiplets (1,4,3)\oplus(0,4,4), (3,4,1)\oplus(0,4,4) and (4,4,0)\oplus(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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S. Fedoruk, E. Ivanov. 2015-10-19. New realizations of the supergroup D(2,1;α) in N=4 superconformal mechanics. https://arxiv.org/abs/1507.08584

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