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Dilaton Weyl multiplets for $N = 3$ conformal supergravity in four dimensions

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arxiv 2412.14874 v3 pith:TDQSEA63 submitted 2024-12-19 hep-th

classification hep-th
keywords multipletweyldilatonfieldstimesvectorconformaldimensions
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abstract

We construct a dilaton Weyl multiplet for $N = 3$ conformal supergravity in four dimensions. We couple an on-shell vector multiplet to the standard Weyl multiplet and use the field equations of the vector multiplet to replace some of the components of the auxiliary fields of the standard Weyl multiplet with the fields of the vector multiplet and some dual gauge fields. The R-symmetry of the multiplet is $SU(2) \times U(1) \times U(1)$. Furthermore, we gauge fix one of the two $U(1)$ symmetries and rewrite the result for the dilaton Weyl multiplet with $SU(2) \times U(1)$ R-symmetry.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Six-dimensional $\mathcal{N}=(2,0)$ Conformal Superspace

    hep-th 2025-06 conditional novelty 8.0 of 10

    A new off-shell 6D N=(2,0) conformal superspace is constructed, and its unique Bach tensor superfield is derived up to overall scaling.

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