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Journal Article

The component structure of conformal supergravity invariants in six dimensions


Novak,  Joseph
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Novak, J., Butter, D., & Tartaglino-Mazzucchelli, G. (2017). The component structure of conformal supergravity invariants in six dimensions. Journal of high energy physics: JHEP, 2017(05): 133. doi:10.1007/JHEP05(2017)133.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002C-4046-6
In the recent paper arXiv:1606.02921, the two invariant actions for 6D N=(1,0) 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=(2,0) Weyl multiplet has a consistent truncation to N=(1,0), we then verify that there is indeed only a single N=(2,0) conformal supergravity invariant and reconstruct most of its terms by uplifting a certain linear combination of N=(1,0) invariants.