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Hyper-Dilaton Weyl Multiplets of 5D and 6D Minimal Conformal Supergravity

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arxiv 2209.05748 v2 pith:GWLMIWAL submitted 2022-09-13 hep-th gr-qcmath-phmath.MP

Jessica Hutomo , Saurish Khandelwal , Gabriele Tartaglino-Mazzucchelli , Jesse Woods This is my paper · ORCID
classification hep-thgr-qcmath-phmath.MP
keywords conformalmultipletssupergravitycouplingfive-dimensionalhyper-dilatonmathcalweyl
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

By extending the recent analysis of arXiv:2203.12203 for ${\mathcal{N}}=2$ conformal supergravity in four dimensions, we define new hyper-dilaton Weyl multiplets for five-dimensional ${\mathcal{N}}=1$, and six-dimensional ${\mathcal{N}}=(1,0)$ conformal supergravities. These are constructed by coupling the five- and six-dimensional standard Weyl multiplets to on-shell hypermultiplets and reinterpreting the systems as new multiplets of conformal supergravity. In the five-dimensional case, we also construct a new hyper-dilaton Poincar\'e supergravity by coupling to an off-shell vector multiplet compensator. As in four dimensions, a $BF$-coupling induces a non-trivial scalar potential for the five-dimensional dilaton that admits AdS$_5$ vacua.

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Cited by 4 Pith papers

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.

  2. $SU(2)\times SU(2)$ dilaton Weyl multiplets for maximal conformal supergravity in four, five, and six dimensions

    hep-th 2024-11 conditional novelty 7.0 of 10

    New SU(2)×SU(2) dilaton Weyl multiplets are constructed for N=4, N=2, and (2,0) conformal supergravity, including the first six-dimensional (2,0) dilaton Weyl multiplet.

  3. ${\mathcal N}=3$ nonlinear multiplet and supergravity

    hep-th 2025-01 conditional novelty 6.0 of 10

    A new N=3 Einstein superspace is built from a proposed nonlinear multiplet, and the resulting equations of motion reduce to chi=0, implying the N=3 super-Bach tensor vanishes.

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

    hep-th 2024-12 conditional novelty 6.0 of 10

    A dilaton Weyl multiplet for four-dimensional N=3 conformal supergravity is constructed in two versions, with R-symmetry SU(2)xU(1)xU(1) and then SU(2)xU(1).

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