Abstract
The action of the free theory in six spacetime dimensions is explicitly constructed. The variables of the variational principle are prepotentials adapted to the self-duality conditions on the fields. The (3, 1) supersymmetry variations are given and the invariance of the action is verified. The action is first-order in time derivatives. It is also Poincaré invariant but not manifestly so, just like the Hamiltonian action of more familiar relativistic field theories.
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Henneaux, M., Lekeu, V., Matulich, J. et al. The action of the (free) theory in six spacetime dimensions. J. High Energ. Phys. 2018, 57 (2018). https://doi.org/10.1007/JHEP06(2018)057
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DOI: https://doi.org/10.1007/JHEP06(2018)057