Abstract
\( \mathcal{N} \) = 2 conformal supergravity in five dimensions is constructed via a systematic off-shell reduction scheme from maximal conformal supergravity in six dimensions which is (2, 0). The dimensional reduction of the (2, 0) Weyl multiplet in six dimensions gives us the Weyl multiplet in five dimensions which is a dilaton Weyl multiplet as it has a dilaton scalar. The dimensional reduction of the (2, 0) tensor multiplet in six dimensions gives us the \( \mathcal{N} \) = 2 vector multiplet in five dimensions coupled to conformal supergravity. We also comment on Nahm’s classification regarding the non-existence of an \( \mathcal{N} \) = 2 superconformal algebra in five dimensions and why it does not contradict the existence of \( \mathcal{N} \) = 2 conformal supergravity in five dimensions that is constructed in this paper.
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Acknowledgments
We would like to thank Subrabalan Murugesan for his involvement in the initial stage of the project. We would like to thank Daniel Butter for useful discussions. We would like to thank Subramanya Hegde for his help in checking the Gamma Matrix identities using Mathematica and his comments on the draft. We would also like to thank Madhu Mishra for useful discussions and her comments on the draft. SA thanks IMSc for hospitality during the course of this work. This work has been partially supported by SERB core research grant CRG/2018/002373, Government of India.
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Adhikari, S., Sahoo, B. \( \mathcal{N} \) = 2 conformal supergravity in five dimensions. J. High Energ. Phys. 2024, 28 (2024). https://doi.org/10.1007/JHEP07(2024)028
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DOI: https://doi.org/10.1007/JHEP07(2024)028