Geodesic
The graded differential geometry of mixed symmetry tensors
Archivum mathematicum, Tome 55 (2019) no. 2, pp. 123-137

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We show how the theory of $\mathbb{Z}_2^n$-manifolds - which are a non-trivial generalisation of supermanifolds - may be useful in a geometrical approach to mixed symmetry tensors such as the dual graviton. The geometric aspects of such tensor fields on both flat and curved space-times are discussed.
DOI : 10.5817/AM2019-2-123
Classification : 53C80, 58A50, 83C65
Keywords: $\mathbb{Z}_2^n$-manifolds; mixed symmetry tensors; dual gravitons 
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Bruce, Andrew James; Ibarguengoytia, Eduardo. The graded differential geometry of mixed symmetry tensors. Archivum mathematicum, Tome 55 (2019) no. 2, pp. 123-137. doi: 10.5817/AM2019-2-123

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