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Invariants for minimal conformal supergravity in six dimensions

  • Regular Article - Theoretical Physics
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  • Published: 15 December 2016
  • Volume 2016, article number 72, (2016)
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Invariants for minimal conformal supergravity in six dimensions
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  • Daniel Butter1,
  • Sergei M. Kuzenko2,
  • Joseph Novak3 &
  • …
  • Stefan Theisen3 

  • 335 Accesses

  • 34 Citations

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A preprint version of the article is available at arXiv.

Abstract

We develop a new off-shell formulation for six-dimensional conformal super-gravity obtained by gauging the 6D \( \mathcal{N} \) = (1, 0) superconformal algebra in superspace. This formulation is employed to construct two invariants for 6D \( \mathcal{N} \) = (1, 0) conformal super-gravity, which contain C 3 and C□C terms at the component level. Using a conformal supercurrent analysis, we prove that these exhaust all such invariants in minimal conformal supergravity. Finally, we show how to construct the supersymmetric F□F invariant in curved superspace.

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Authors and Affiliations

  1. Nikhef Theory Group, Science Park 105, 1098 XG, Amsterdam, The Netherlands

    Daniel Butter

  2. School of Physics M013, The University of Western Australia, 35 Stirling Highway, Crawley, W.A., 6009, Australia

    Sergei M. Kuzenko

  3. Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, D-14476, Golm, Germany

    Joseph Novak & Stefan Theisen

Authors
  1. Daniel Butter
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  2. Sergei M. Kuzenko
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  3. Joseph Novak
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  4. Stefan Theisen
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Corresponding author

Correspondence to Joseph Novak.

Additional information

ArXiv ePrint: 1606.02921

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Cite this article

Butter, D., Kuzenko, S.M., Novak, J. et al. Invariants for minimal conformal supergravity in six dimensions. J. High Energ. Phys. 2016, 72 (2016). https://doi.org/10.1007/JHEP12(2016)072

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  • Received: 29 July 2016

  • Revised: 03 October 2016

  • Accepted: 29 November 2016

  • Published: 15 December 2016

  • DOI: https://doi.org/10.1007/JHEP12(2016)072

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Keywords

  • Conformal Field Theory
  • Supergravity Models
  • Superspaces
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