发表机构
Ritsumeikan University; Research Institute for Mathematical Sciences, Kyoto University（立命馆大学; 京都大学数理解析研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出规范化AKSZ sigma模型，基于QP流形构建，通过几何条件保证相容性，并分析高阶Courant sigma模型的规范化，引出动量映射和Hamiltonian $G$-空间的推广。
AI 中文摘要
我们提出了一类新的sigma模型，扩展了AKSZ sigma模型，称之为规范化的AKSZ sigma模型。这些模型利用QP流形构建。AKSZ结构与规范化之间的相容性由目标分次流形上的几何条件刻画。作为例子，我们显式分析了高维中高阶Courant sigma模型的规范化。当通量和边界被引入到规范化的高阶Courant sigma模型中时，动量映射和Hamiltonian $G$-空间的推广作为模型的一致性条件出现。
英文摘要
We propose a new class of sigma models that extend AKSZ sigma models, which we refer to as gauged AKSZ sigma models. These models are constructed using QP-manifolds. The compatibility between the AKSZ structure and gauging is characterized by geometric conditions on the target graded manifold. As an example, we explicitly analyze the gauging of higher Courant sigma models in higher dimensions. When fluxes and boundaries are introduced into gauged higher Courant sigma models, generalizations of momentum maps and Hamiltonian $G$-spaces arise as consistency conditions for the models.
Comments35 pages
