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Conformal supergravity in three dimensions: off-shell actions

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Abstract

Using the off-shell formulation for \( \mathcal{N} \)-extended conformal supergravity in three dimensions that has recently been presented in arXiv:1305.3132, we construct superspace actions for conformal supergravity theories with \( \mathcal{N} \) < 6. For each of the cases considered, we work out the complete component action as well as the gauge transformation laws of the fields belonging to the Weyl supermultiplet. The \( \mathcal{N} \) = 1 and \( \mathcal{N} \) = 2 component actions derived coincide with those proposed by van Nieuwenhuizen and Roček in the mid-1980s. The off-shell \( \mathcal{N} \) = 3, \( \mathcal{N} \) = 4 and \( \mathcal{N} \) = 5 supergravity actions are new results. Upon elimination of the auxiliary fields, these actions reduce to those constructed by Lindström and Roček in 1989 (and also by Gates and Nishino in 1993).

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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, Joseph Novak & Gabriele Tartaglino-Mazzucchelli

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  1. Daniel Butter
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  2. Sergei M. Kuzenko
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  3. Joseph Novak
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  4. Gabriele Tartaglino-Mazzucchelli
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Correspondence to Gabriele Tartaglino-Mazzucchelli.

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ArXiv ePrint: 1306.1205

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Butter, D., Kuzenko, S.M., Novak, J. et al. Conformal supergravity in three dimensions: off-shell actions. J. High Energ. Phys. 2013, 73 (2013). https://doi.org/10.1007/JHEP10(2013)073

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