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New superconformal multiplets and higher derivative invariants in six dimensions

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

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

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1707.04445.pdf
(Preprint), 209KB

NPB925_348.pdf
(Publisher version), 251KB

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Citation

Kuzenko, S. M., Novak, J., & Theisen, S. (2017). New superconformal multiplets and higher derivative invariants in six dimensions. Nuclear Physics B, 925, 348-361. doi:10.1016/j.nuclphysb.2017.10.013.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002D-99E7-F
Abstract
Within the framework of six-dimensional ${\cal N}=(1,0)$ conformal supergravity, we introduce new off-shell multiplets ${\cal O}{}^{*}(n)$, where $n=3,4,\dots,$ and use them to construct higher-rank extensions of the linear multiplet action. The ${\cal O}{}^{*}(n)$ multiplets may be viewed as being dual to well-known superconformal ${\cal O}(n)$ multiplets. We provide prepotential formulations for the ${\cal O}(n)$ and ${\cal O}{}^{*}(n)$ multiplets coupled to conformal supergravity. For every ${\cal O}{}^{*}(n)$ multiplet, we construct a higher derivative invariant which is superconformal on arbitrary superconformally flat backgrounds. We also show how our results can be used to construct new higher derivative actions in supergravity.