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N=6 superconformal gravity in three dimensions from superspace

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arxiv 1308.5552 v2 pith:3HSPRA2F submitted 2013-08-26 hep-th

Sergei M. Kuzenko , Joseph Novak , Gabriele Tartaglino-Mazzucchelli This is my paper · ORCID
classification hep-th
keywords conformalactionarxivdimensionssupergravitysuperspacethreeabelian
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A unique feature of N=6 conformal supergravity in three dimensions is that the super Cotton tensor W^{IJKL} can equivalently be viewed, via the Hodge duality, as the field strength of an Abelian vector multiplet, W^{IJ}. Using this observation and the conformal superspace techniques developed in arXiv:1305.3132 and arXiv:1306.1205, we construct the off-shell action for N=6 conformal supergravity. The complete component action is also worked out.

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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. ${\mathcal N}=3$ 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. The anti-de Sitter supergeometry revisited

    hep-th 2024-12 conditional novelty 6.0 of 10

    AdS^{4|4N} is shown to be conformally flat for all N via two explicit supervielbeins, and the U(N) versus O(N) structure group relation is established.

  4. Nonlinear self-duality for arbitrary spin, superspin, and supersymmetry type

    hep-th 2026-02 conditional novelty 4.0 of 10

    Every U(1) duality-invariant (super)conformal gauge theory of arbitrary (super)spin obeys a universal self-duality equation, is Legendre self-dual, and (for spin > 1) lives only on conformally flat backgrounds.

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