Abstract
In this paper, we describe multigraded generalizations of certain constructions useful for the 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 first introduced by A. Kotov and T. Strobl. We compare these approaches by studying certain supersymmetric sigma models important in theoretical physics.
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