BRST归约的强同宗结构

IF 0.7 3区数学 Q2 MATHEMATICS

Pacific Journal of Mathematics Pub Date : 2022-02-17 DOI:10.2140/pjm.2023.325.47

C. Esposito, Andreas Kraft, Jonas Schnitzer

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引用次数: 1

摘要

本文针对用$L_infty$-态射表示的多微分算子，提出了一个约简方案。通过应用一个显式形式的同伦转移定理，得到了期望的归约$L_infty$-态射。最后，我们证明了由该约化$L_infty$-态射引起的约化星积与通过形式Koszul复形得到的约化星乘积是等价的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The strong homotopy structure of BRST reduction

In this paper we propose a reduction scheme for polydifferential operators phrased in terms of $L_\infty$-morphisms. The desired reduction $L_\infty$-morphism has been obtained by applying an explicit version of the homotopy transfer theorem. Finally, we prove that the reduced star product induced by this reduction $L_\infty$-morphism and the reduced star product obtained via the formal Koszul complex are equivalent.

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来源期刊

Pacific Journal of Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Founded in 1951, PJM has published mathematics research for more than 60 years. PJM is run by mathematicians from the Pacific Rim. PJM aims to publish high-quality articles in all branches of mathematics, at low cost to libraries and individuals. The Pacific Journal of Mathematics is incorporated as a 501(c)(3) California nonprofit.