Towards equivariant Yang-Mills theory

被引：1

作者：

Bonechi, F. ^{[1
]}

Cattaneo, A. S. ^{[2
]}

Zabzine, M. ^{[3
]}

机构：

[1] INFN, Sez Firenze, Via G Sansone 1, I-50019 Florence, Italy

[2] Univ Zurich, Inst Math, Winterthurerstr 190, CH-8057 Zurich, Switzerland

[3] Uppsala Univ, Dept Phys & Astron, Box 516, S-75120 Uppsala, Sweden

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2023年 / 189卷

基金：

瑞士国家科学基金会;

关键词：

BV formalism; Gauge theories; Equivariant cohomology;

D O I：

10.1016/j.geomphys.2023.104836

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study four dimensional gauge theories in the context of an equivariant extension of the Batalin-Vilkovisky (BV) formalism. We discuss the embedding of BV Yang-Mills (YM) theory into a larger BV theory and their relation. Partial integration in the equivariant BV setting (BV push-forward map) is performed explicitly for the abelian case. As result, we obtain a non-local homological generalization of the Cartan calculus and a non-local extension of the abelian YM BV action which satisfies the equivariant master equation.(c) 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/).

引用

页数：17

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