AI 中文总结
本研究基于Fedosov形变量子化提出新方法，可系统计算热核展开与共形反常，适用于任意阶微分算子，计算高效且能给出闭式表达式，还首次得到八维共形反常结果。
AI 中文摘要
我们提出一种基于Fedosov形变量子化系统计算热核展开、尤其是共形反常的新方法，该方法完全协变，适用于任意阶微分算子，易于高效实现且能给出闭式表达式。作为应用，我们计算了四维、六维和八维的共形反常，其中八维的结果为新成果。
英文摘要
We propose a new approach to the systematic computation of the heat-kernel expansion and, in particular, of conformal anomalies, based on Fedosov deformation quantization. The approach is fully covariant, applies to differential operators of arbitrary order, is amenable to efficient implementation, and yields closed-form expressions. As applications, we compute conformal anomalies in four, six, and eight dimensions, the last being a new result.
