论文标题
正式的全球AKSZ量规观测值和广义威尔逊表面
Formal Global AKSZ Gauge Observables and Generalized Wilson Surfaces
论文作者
论文摘要
我们考虑使用超对称场理论的方法来构造可观察物的构造。特别是，我们使用Aksz Theories的Batalin-Vilkovisky结构将AKSZ型可观察物的扩展为正式的全球版本，并采用正式的几何形状。我们将考虑AKSZ理论“分裂”的情况，该理论将在正式的全球行动中为基础和纤维上的正式向量领域提供明确的结构。此外，我们考虑了正式的全球通用威尔逊表面可观察物的示例，其期望值是使用$ bf $ field理论的高维结的不变性。这些结构产生了有趣的全球条件条件，例如差异量子主方程和进一步的扩展。
We consider a construction of observables by using methods of supersymmetric field theories. In particular, we give an extension of AKSZ-type observables using the Batalin-Vilkovisky structure of AKSZ theories to a formal global version with methods of formal geometry. We will consider the case where the AKSZ theory is "split" which will give an explicit construction for formal vector fields on base and fiber within the formal global action. Moreover, we consider the example of formal global generalized Wilson surface observables whose expectation values are invariants of higher-dimensional knots by using $BF$ field theory. These constructions give rise to interesting global gauge conditions such as the differential Quantum Master Equation and further extensions.
