中文

二维格子 Yang-Mills 理论的派生代数几何

数学物理 2024-09-12 v1 高能物理 - 理论 代数几何 math.MP

摘要

presented. The derived critical locus of the Wilson action is described and its local data supported in rectangular subsets V=[a,b]×[c,d]Z2V =[a,b]\times [c,d]\subseteq \mathbb{Z}^2 with both sides of length 2\geq 2 is extracted. A locally constant dg-category-valued prefactorization algebra on Z2\mathbb{Z}^2 is constructed from the dg-categories of perfect complexes on the derived stacks of local data。

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引用

@article{arxiv.2409.06873,
  title  = {Derived algebraic geometry of 2d lattice Yang-Mills theory},
  author = {Marco Benini and Tomás Fernández and Alexander Schenkel},
  journal= {arXiv preprint arXiv:2409.06873},
  year   = {2024}
}

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25 pages