论文标题
爱因斯坦重力的预旋aksz公式
Presymplectic AKSZ formulation of Einstein gravity
论文作者
论文摘要
任何局部量规理论都可以表示为Aksz Sigma模型（如有必要，在参数化时）。但是，对于高于1的维度中的非主观模型，目标空间必然是无限维度的。一段时间以来已知的有趣替代方案是允许目标空间中的退化前结构结构。这导致非常简洁的Aksz般的表示，用于类似框架的拉格朗日系统。在这项工作中，我们专注于爱因斯坦的重力，并表明不仅拉格朗日人，而且还表明全尺寸的batalin-vilkovisky配方自然编码在预成立的AKSZ配方中，从而为cartan-weyl作用提供了优雅的BV的超尺度结构。相同的汉密尔顿BFV公式的主要结构也是如此。
Any local gauge theory can be represented as an AKSZ sigma model (upon parameterization if necessary). However, for non-topological models in dimension higher than 1 the target space is necessarily infinite-dimensional. The interesting alternative known for some time is to allow for degenerate presymplectic structure in the target space. This leads to a very concise AKSZ-like representation for frame-like Lagrangians of gauge systems. In this work we concentrate on Einstein gravity and show that not only the Lagrangian but also the full-scale Batalin--Vilkovisky formulation is naturally encoded in the presymplectic AKSZ formulation, giving an elegant supergeometrical construction of BV for Cartan-Weyl action. The same applies to the main structures of the respective Hamiltonian BFV formulation.
