Supersymmetrization: AKSZ and beyond?
Résumé
In this paper we describe multigraded generalizations of some constructions useful for mathematical understanding of gauge theories: we perform a near-at-hand generalization of the Aleksandrov-Kontsevich-Schwarz-Zaboronsky procedure, we also extend the formalism of Q-bundles introduced first by A. Kotov and T. Strobl. We compare these approaches studying some supersymmetric sigma models important in theoretical physics.
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