The Action of the (Free) $\mathcal{N} = (3,1)$ Theory in Six Spacetime Dimensions

12 Jun 2018 · Henneaux Marc, Lekeu Victor, Matulich Javier, Prohazka Stefan ·

The action of the free $\mathcal{N} = (3,1)$ 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 Poincar\'e invariant but not manifestly so, just like the Hamiltonian action of more familiar relativistic field theories.

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The Action of the (Free) $\mathcal{N} = (3,1)$ Theory in Six Spacetime Dimensions

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