The Action of the (Free) N = (3,1) Theory in Six Spacetime Dimensions

2018/04/26 by Henneaux, Marc, Lekeu, Victor, Matulich, Javier +1 · 1 citation
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.1804.10125

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

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