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Supersymmetrization: AKSZ and Beyond?
Russian Journal of Mathematical Physics ( IF 1.7 ) Pub Date : 2020-12-22 , DOI: 10.1134/s1061920820040111 V. Salnikov
中文翻译:
超对称化:AKSZ和超越?
更新日期:2020-12-23
Russian Journal of Mathematical Physics ( IF 1.7 ) Pub Date : 2020-12-22 , DOI: 10.1134/s1061920820040111 V. Salnikov
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。