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关于泊松西格玛模型的全球化迹线

On Globalized Traces for the Poisson Sigma Model.

作者信息

Moshayedi Nima

机构信息

Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, 8057 Zürich, Switzerland.

UC Berkeley, Berkeley, CA USA.

出版信息

Commun Math Phys. 2022;393(1):583-629. doi: 10.1007/s00220-022-04371-4. Epub 2022 Apr 27.

DOI:10.1007/s00220-022-04371-4
PMID:35726329
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9203441/
Abstract

A globalized version of a trace formula for the Poisson Sigma Model on the disk is presented by using its formal global picture in the setting of the Batalin-Vilkovisky formalism. This global construction includes the concept of zero modes. Moreover, for the symplectic case of the Poisson Sigma Model with cotangent target, the globalized trace reduces to a symplectic construction which was presented by Grady, Li and Li for 1-dimensional Chern-Simons theory (topological quantum mechanics). In addition, the connection between this formula and the Nest-Tsygan theorem and the Tamarkin-Tsygan theorem is explained.

摘要

通过在巴塔林 - 维尔科夫斯基形式体系的背景下使用其形式上的全局图景，给出了圆盘上泊松西格玛模型的迹公式的全球化版本。这种全局构造包括零模的概念。此外，对于具有余切目标的泊松西格玛模型的辛情形，全球化的迹简化为格雷迪、李和李为一维陈 - 西蒙斯理论（拓扑量子力学）给出的辛构造。另外，还解释了这个公式与内斯特 - 齐甘定理以及塔马尔金 - 齐甘定理之间的联系。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6e9c/9203441/fe3e0937c0db/220_2022_4371_Fig12_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6e9c/9203441/abf4fb777a1d/220_2022_4371_Fig1_HTML.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6e9c/9203441/879afd062947/220_2022_4371_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6e9c/9203441/fafb1d19941f/220_2022_4371_Fig9_HTML.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6e9c/9203441/a9855f32892b/220_2022_4371_Fig11_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6e9c/9203441/fe3e0937c0db/220_2022_4371_Fig12_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6e9c/9203441/abf4fb777a1d/220_2022_4371_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6e9c/9203441/6a914445460e/220_2022_4371_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6e9c/9203441/381bfe5577c6/220_2022_4371_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6e9c/9203441/0b671ef68c55/220_2022_4371_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6e9c/9203441/2e2c43e3c2f6/220_2022_4371_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6e9c/9203441/5a587312664a/220_2022_4371_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6e9c/9203441/3609ef5d91b8/220_2022_4371_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6e9c/9203441/879afd062947/220_2022_4371_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6e9c/9203441/fafb1d19941f/220_2022_4371_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6e9c/9203441/010ad88e7a0d/220_2022_4371_Fig10_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6e9c/9203441/a9855f32892b/220_2022_4371_Fig11_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6e9c/9203441/fe3e0937c0db/220_2022_4371_Fig12_HTML.jpg

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