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Hyper-Dilaton Weyl Multiplet of 4D, ${\mathcal{N}}=2$ Conformal Supergravity

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arxiv 2203.12203 v3 pith:VRMK6RAR submitted 2022-03-23 hep-th gr-qcmath-phmath.MP

Gregory Gold , Saurish Khandelwal , William Kitchin , Gabriele Tartaglino-Mazzucchelli This is my paper · ORCID
classification hep-thgr-qcmath-phmath.MP
keywords multipletmathcalweylsupergravitydilatonhyper-dilatonoff-shellconformal
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We define a new dilaton Weyl multiplet of ${\mathcal{N}}=2$ conformal supergravity in four dimensions. This is constructed by reinterpreting the equations of motion of an on-shell hypermultiplet as constraints that render some of the fields of the standard Weyl multiplet composite. The independent bosonic components include four scalar fields and a triplet of gauge two-forms. The resulting, so-called, hyper-dilaton Weyl multiplet defines a $24+24$ off-shell representation of the local ${\mathcal{N}}=2$ superconformal algebra. By coupling the hyper-dilaton Weyl multiplet to an off-shell vector multiplet compensator, we obtain one of the two minimal $32+32$ off-shell multiplets of ${\mathcal{N}}=2$ Poincar\'e supergravity constructed by M\"uller in 1986. On-shell, this contains the minimal ${\mathcal{N}}=2$ Poincar\'e supergravity multiplet together with a hypermultiplet where one of its physical scalars plays the role of a dilaton, while its three other scalars are dualised to a triplet of real gauge two-forms. Interestingly, a $BF$-coupling induces a scalar potential for the dilaton without a standard gauging.

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Cited by 4 Pith papers

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  1. $SU(2)\times SU(2)$ 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.

  2. ${\mathcal N}=3$ 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.

  3. Scalar-Tensor multiplet in four dimensional N=2 conformal supergravity

    hep-th 2024-12 conditional novelty 6.0 of 10

    A new off-shell 8+8 scalar-tensor multiplet for N=2 conformal supergravity is constructed by supersymmetric truncation of N=3 multiplets and elimination of central charge multiplet fields using hypermultiplet field equations.

  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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