Abstract

The action of the free 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 Poincare invariant but not manifestly so, just like the Hamiltonian action of more familiar relativistic field theories.