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

2024/12/19 by Soumya Adhikari, Adhikari, Soumya, Aikot, Aravind +4
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2412.14874

openalex publication_date 2024/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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) × U(1) × 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) × U(1) R-symmetry.

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