{"title":"Off-shell color-kinematics duality from codifferentials","authors":"Maor Ben-Shahar, Francesco Bonechi, Maxim Zabzine","doi":"arxiv-2409.11484","DOIUrl":null,"url":null,"abstract":"We examine the color-kinematics duality within the BV formalism, highlighting\nits emergence as a feature of specific gauge-fixed actions. Our goal is to\nestablish a general framework for studying the duality while investigating\nstraightforward examples of off-shell color-kinematics duality. In this\ncontext, we revisit Chern-Simons theory as well as introduce new examples,\nincluding BF theory and 2D Yang-Mills theory, which are shown to exhibit the\nduality off-shell. We emphasize that the geometric structures responsible for\nflat-space color-kinematics duality appear for general curved spaces as well.","PeriodicalId":501312,"journal":{"name":"arXiv - MATH - Mathematical Physics","volume":"31 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.11484","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We examine the color-kinematics duality within the BV formalism, highlighting
its emergence as a feature of specific gauge-fixed actions. Our goal is to
establish a general framework for studying the duality while investigating
straightforward examples of off-shell color-kinematics duality. In this
context, we revisit Chern-Simons theory as well as introduce new examples,
including BF theory and 2D Yang-Mills theory, which are shown to exhibit the
duality off-shell. We emphasize that the geometric structures responsible for
flat-space color-kinematics duality appear for general curved spaces as well.
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