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arXiv · 2203.09071

Homotopy transfer for QFT on non-compact manifold with boundary: a case study

Minghao Wang·Gongwang Yan
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Abstract

In this work we report a homological perturbation calculation to construct effective theories of topological quantum mechanics on $\mathbb{R}_{\geqslant 0}$. Such calculation can be regarded as a generalization of Feynman graph computation. The resulting effective theories fit into derived BV algebra structure, which generalizes BV quantization. Besides, our construction may serve as the simplest example of a process called "boundary transfer", which may help study bulk-boundary correspondence.

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BibTeXRIS

Minghao Wang, Gongwang Yan. 2022-03-17. Homotopy transfer for QFT on non-compact manifold with boundary: a case study. https://arxiv.org/abs/2203.09071

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