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Invariants for minimal conformal supergravity in six dimensions

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

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Theisen,  S.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1606.02921.pdf
(Preprint), 481KB

JHEP12(2016)072.pdf
(Publisher version), 609KB

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Citation

Butter, D., Kuzenko, S. M., Novak, J., & Theisen, S. (2016). Invariants for minimal conformal supergravity in six dimensions. Journal of high energy physics: JHEP, 2016(12): 072. doi:10.1007/JHEP12(2016)072.

Cite as: http://hdl.handle.net/11858/00-001M-0000-002B-0889-9
Abstract
We develop a new off-shell formulation for six-dimensional conformal supergravity obtained by gauging the 6D ${\cal N} = (1, 0)$ superconformal algebra in superspace. This formulation is employed to construct two invariants for 6D ${\cal N} = (1, 0)$ conformal supergravity, which contain $C^3$ and $C\Box C$ 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 $F \Box F$ invariant in curved superspace.