论文标题
保形重力的预透明BV-AKSZ
Presymplectic BV-AKSZ formulation of Conformal Gravity
论文作者
论文摘要
我们详细介绍了局部量规理论的ProS-lectemplectic BV-AKSZ方法，并将其应用于保形重力。更具体地说，我们在该理论的总BRST络合物的最小模型上确定了兼容的先导性结构，并表明，与BRST差异一起，它决定了特定框架样作用的全尺度BV公式，这似乎以前是未知的。值得注意的是，基础框架的描述不需要人工脱壳限制。取而代之的是，在衡量所有属于前链结构内核的变量时，该动作变得等同于通常的保形重力。最后，我们展示了预成成BV-AKSZ方法如何扩展到通用仪表理论。
We elaborate on the presymplectic BV-AKSZ approach to local gauge theories and apply it to conformal gravity. More specifically, we identify a compatible presymplectic structure on the minimal model of the total BRST complex of this theory and show that together with the BRST differential it determines a full-scale BV formulation for a specific frame-like action which seems to be previously unknown. Remarkably, the underlying frame-like description requires no artificial off-shell constraints. Instead, the action becomes equivalent to the usual conformal gravity one, upon gauging away all the variables belonging to the kernel of the presymplectic structure. Finally, we show how the presymplectic BV-AKSZ approach extends to generic gauge theories.
