论文标题
一般相对论和AKSZ构造
General Relativity and the AKSZ construction
论文作者
论文摘要
在本说明中，AKSZ的结构应用于爱因斯坦 - 希尔伯特（Einstein-Hilbert）和帕拉蒂尼 - 卡丹（Palatinii-Cartan）理论的降低相位空间的BFV描述。在前一种情况下，人们获得了爱因斯坦 - 希尔伯特理论的一阶表述的BV理论，在后者的palatinii-cartan理论的BV理论中，部分实施了无扭转状态在领域的空间上。这里描述的所有理论都是圆柱体上同一经典系统的BV版本。我们提出的AKSZ实现具有产生兼容BV-BFV描述的优点，这是在存在边界时进行量化的起点。
In this note the AKSZ construction is applied to the BFV description of the reduced phase space of the Einstein-Hilbert and of the Palatini--Cartan theories in every space-time dimension greater than two. In the former case one obtains a BV theory for the first-order formulation of Einstein--Hilbert theory, in the latter a BV theory for Palatini--Cartan theory with a partial implementation of the torsion-free condition already on the space of fields. All theories described here are BV versions of the same classical system on cylinders. The AKSZ implementations we present have the advantage of yielding a compatible BV-BFV description, which is the required starting point for a quantization in presence of a boundary.
