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Torus reduction of maximal conformal supergravity

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arxiv 2408.06026 v2 pith:D2DGAV6O submitted 2024-08-12 hep-th

Franz Ciceri , Axel Kleinschmidt , Subrabalan Murugesan , Bindusar Sahoo This is my paper · ORCID
classification hep-th
keywords conformalsupergravitydimensionsmultipletsweylfourmultipletoff-shell
verification ladder T0 review T1 audit T2 compute T3 formal
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We consider the dimensional reduction of N=(2,0) conformal supergravity in six dimensions on a two-torus to N=4 conformal supergravity in four dimensions. At the level of kinematics, the six-dimensional Weyl multiplet is shown to reduce to a mixture of the N=4 Weyl and vector multiplets, which can be reinterpreted as a new off-shell multiplet of N=4 conformal supergravity. Similar multiplets have been constructed in other settings and are referred to as dilaton Weyl multiplets. We derive it here for the first time in a maximally supersymmetric context in four dimensions. Furthermore, we present the non-linear relations between all the six- and four-dimensional bosonic and fermionic fields, that are obtained by comparing the off-shell supersymmetry transformation rules.

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Cited by 3 Pith papers

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

  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. 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.

  3. 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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