• DOI:10.1007/JHEP05(2017)133
• Corpus ID: 119490531

The component structure of conformal supergravity invariants in six dimensions

@article{Butter2017TheCS,
  title={The component structure of conformal supergravity invariants in six dimensions},
  author={Daniel Butter and Joseph Novak and Gabriele Tartaglino-Mazzucchelli},
  journal={Journal of High Energy Physics},
  year={2017},
  volume={2017},
  pages={1-45}
}

• D. Butter, J. Novak, G. Tartaglino-Mazzucchelli
• Published 27 January 2017
• Mathematics
• Journal of High Energy Physics

A bstractIn the recent paper arXiv:1606.02921, the two invariant actions for 6D N=10$$ \mathcal{N}=\left(1,0\right) $$ conformal supergravity were constructed in superspace, corresponding to the supersymmetrization of C3 and C□C. In this paper, we provide the translation from superspace to the component formulation of superconformal tensor calculus, and we give the full component actions of these two invariants. As a second application, we build the component form for the supersymmetric F□F action coupled to conformal supergravity. Exploiting the fact that the N=20$$ \mathcal{N}=\left(2,0\right) $$ Weyl multiplet has a consistent truncation to N=10$$ \mathcal{N}=\left(1,0\right) $$, we then verify that there is indeed only a single N=20$$ \mathcal{N}=\left(2,0\right) $$ conformal supergravity invariant and reconstruct most of its bosonic terms by uplifting a certain linear combination of N=10$$ \mathcal{N}=\left(1,0\right) $$ invariants.