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.

中文翻译：

---

超对称化：AKSZ和超越？

摘要

在本文中，我们描述了某些构造的多层次概括，对于对规范理论的数学理解很有用：我们对Aleksandrov–Kontsevich–Schwarz–Zaboronsky过程进行了近距离概括；我们还扩展了A. Kotov和T. Strobl最初引入的\（Q \）- bundle的形式主义。我们通过研究在理论物理学中很重要的某些超对称sigma模型来比较这些方法。