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.(read more)