{"title":"从代差分出发的壳外色彩运动学对偶性","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":"{\"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}","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}
Off-shell color-kinematics duality from codifferentials
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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