Abstract
We consider Abelian tensor hierarchy in four-dimensional \( \mathcal{N} \) = 1 supergravity in the conformal superspace formalism, where the so-called covariant approach is used to antisymmetric tensor fields. We introduce p-form gauge superfields as superforms in the conformal superspace. We solve the Bianchi identities under the constraints for the super-forms. As a result, each of form fields is expressed by a single gauge invariant superfield. We also show the relation between the superspace formalism and the superconformal tensor calculus.
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Aoki, S., Higaki, T., Yamada, Y. et al. Abelian tensor hierarchy in 4D \( \mathcal{N} \) = 1 conformal supergravity. J. High Energ. Phys. 2016, 148 (2016). https://doi.org/10.1007/JHEP09(2016)148
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DOI: https://doi.org/10.1007/JHEP09(2016)148