论文标题
扭曲的R-Poisson Sigma模型
Twisted R-Poisson Sigma Models
论文作者
论文摘要
AKSZ的结构是作为几何形式主义而开发的，可以根据QP歧管的概念在BV量化的BV量化中找到对经典的主方程的解决方案。但是，正式主义并不适用于Wess-Zumino术语，正如Ikeda和Strobl最近在WZW-Poisson Sigma模型的最简单示例中所证明的那样。在这项贡献中，我们回顾了一类任意维度的拓扑字段理论，即扭曲的R-Poisson Sigma模型，这些模型适当地概括了Poisson或Twisted Poisson Sigma模型。讨论了它们与差分级别的歧管和较高几何形状的关系，即使目标空间没有QP结构，我们也会绘制如何识别经典主方程的解决方案。
The AKSZ construction was developed as a geometrical formalism to find the solution to the classical master equation in the BV quantization of topological branes based on the concept of QP manifolds. However, the formalism does not apply in presence of Wess-Zumino terms, as demonstrated recently by Ikeda and Strobl in the simplest example of WZW-Poisson sigma models. In this contribution, we review a class of topological field theories in arbitrary dimensions, the twisted R-Poisson sigma models, which suitably generalize Poisson or twisted Poisson sigma models. Their relation to differential graded manifolds and higher geometry is discussed and we sketch how to identify the solution to the classical master equation even though the target space does not have a QP structure.
