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arXiv · 1606.02921

Invariants for minimal conformal supergravity in six dimensions

Daniel Butter·Sergei M. Kuzenko·Joseph Novak·Stefan Theisen
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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.

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Daniel Butter, Sergei M. Kuzenko, Joseph Novak, Stefan Theisen. 2016-12-15. Invariants for minimal conformal supergravity in six dimensions. https://doi.org/10.1007/jhep12(2016)072

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