BV-BFV形式下Rozansky-Witten模型的形式全局微扰量子化
数学物理
2022-01-26 v2 高能物理 - 理论
math.MP
量子代数
摘要
我们描述了在有边界与无边界的源流形上，经典与量子情形下Rozansky-Witten模型在BV-BFV形式中的全局化构造。在引入必要背景后，我们定义了一个AKSZ sigma模型，该模型通过适当扩展到我们情形下的形式几何概念进行全局化后，被证明可归约为Rozansky-Witten模型。讨论了与文献中其他相关构造的关系。此外，我们将该模型拆分为类理论，并在量子BV-BFV框架中构造了模型的微扰量子化。在此背景下，我们能够证明修正的微分散射量子主方程以及量子Grothendieck BFV算子的平坦性。另外，我们在某些情形下给出了BFV边界算子的构造。
引用
@article{arxiv.2106.10463,
title = {Formal Global Perturbative Quantization of the Rozansky-Witten Model in the BV-BFV Formalism},
author = {Nima Moshayedi and Davide Saccardo},
journal= {arXiv preprint arXiv:2106.10463},
year = {2022}
}
备注
80 pages, 20 figures. Substantially revised version. We have corrected several things, including small conceptual mistakes and typos. A much shorter version of the manuscript has been accepted for publication. We leave the longer version on arXiv such that the paper is self-contained. All results of the published version are presented in here