The strong homotopy structure of BRST reduction

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

Abstract

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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BRST归约的强同宗结构
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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