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

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arxiv 1804.10125 v3 pith:D2WLOQWP submitted 2018-04-26 hep-th

Marc Henneaux , Victor Lekeu , Javier Matulich , Stefan Prohazka This is my paper · ORCID
classification hep-th
keywords actiondimensionsfreemathcalspacetimetheoryadaptedconditions
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abstract

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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  1. Covariant quantization of totally antisymmetric tensor-spinor field in $AdS_d$

    hep-th 2025-09 conditional novelty 7.0 of 10

    The BV quantization of the reducible fermionic p-form gauge theory in AdS_d gives Z(p) as a product over functional determinants of Dirac-like operators with degree-dependent masses.

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