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Supersymmetric truncation of $N = 3$ dilaton Weyl multiplet

Soumya Adhikari ^*

Aravind Aikot ^†

Eswar Krishnan ^‡, Bindusar Sahoo ^§, and Sharun Shanmughan ^∥

Indian Institute of Science Education and Research Thiruvananthapuram, Vithura, Thiruvananthapuram, India and Department of Physics and Center for Quantum Spacetime, Sogang University, 35 Baekbeom-ro, Mapo-gu, Seoul 04107, Republic of Korea

Indian Institute of Science Education and Research Thiruvananthapuram, Vithura, Thiruvananthapuram, India and Lehigh University, Pennsylvania 18015, USA

Indian Institute of Science Education and Research Thiruvananthapuram, Vithura, Thiruvananthapuram, India

^*Contact author: ssoumya.a012@gmail.com
^†Contact author: arvd1719@alumni.iisertvm.ac.in
^‡Contact author: eswarkrishnan20@iisertvm.ac.in
^§Contact author: bsahoo@iisertvm.ac.in
^∥Contact author: sharun22@alumni.iisertvm.ac.in

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Phys. Rev. D 113, 126009 – Published 5 June, 2026

DOI: https://doi.org/10.1103/hdns-1fmd

Abstract

We perform all possible supersymmetric truncations of the four-dimensional $N = 3$ dilaton Weyl multiplet, which realizes an $R$ -symmetry $S U (2) \times U (1) \times U (1)$ , to $N = 2$ . A particular truncation procedure does not break any of the $R$ -symmetries and leads to the known $N = 2$ vector-dilaton Weyl multiplet and the $N = 2$ vector multiplet. A different truncation procedure breaks the $S U (2)$ part of the $R$ -symmetry to $U (1)$ and leads to a $32 + 32$ off-shell representation of $N = 2$ conformal supergravity with a partially broken $R$ -symmetry. Independently, we construct another $32 + 32$ off-shell multiplet in $N = 2$ conformal supergravity by coupling the $N = 2$ scalar-tensor multiplet to the $N = 2$ standard Weyl multiplet and using the scalar fields present in the scalar-tensor multiplet to break the $S U (2)$ $R$ -symmetry to $U (1)$ . We then establish the equivalence between these two multiplets through a mapping. We observe that this $32 + 32$ multiplet is gauge equivalent to a Poincaré supergravity multiplet as it has all the compensators necessary to go from conformal supergravity to Poincaré supergravity.

Physics Subject Headings (PhySH)

Supergravity

Article Text

References (29)

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Phys. Rev. D 113, 126009– Published 5 June, 2026

Vol. 113, Iss. 12 — 15 June 2026

Received 23 December 2025
Accepted 11 May 2026

DOI: https://doi.org/10.1103/hdns-1fmd

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

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Supersymmetric truncation of $N = 3$ dilaton Weyl multiplet

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Supersymmetric truncation of N=3 dilaton Weyl multiplet

Abstract

Physics Subject Headings (PhySH)

Article Text

References (29)

Supersymmetric truncation of $N = 3$ dilaton Weyl multiplet