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Some remarks on (super)-conformal Killing-Yano tensors

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arxiv 1808.00583 v3 pith:HILCNEGF submitted 2018-08-01 hep-th

classification hep-th
keywords conformalkilling-yanotensortensorsconstraintgeneralisationssupersymmetryworldline
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

A Killing-Yano tensor is an antisymmetric tensor obeying a first-order differential constraint similar to that obeyed by a Killing vector. In this article we consider generalisations of such objects, focusing on the conformal case. These generalised conformal Killing-Yano tensors are of mixed symmetry type and obey the constraint that the largest irreducible representation of $o(n)$ contained in the tensor constructed from the first-derivative applied to such an object should vanish. Such tensors appear naturally in the context of spinning particles having $N_0=1$ worldline supersymmetry and in the related problem of higher symmetries of Dirac operators. Generalisations corresponding to extended worldline supersymmetries and to spacetime supersymmetry are discussed.

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Cited by 3 Pith papers

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