Seiberg-Witten几何和w -代数的双量子化

Proceedings of Symposia in Pure Mathematics Pub Date : 2016-12-22 DOI:10.1090/pspum/100/01762

Taro Kimura

{"title":"Seiberg-Witten几何和w -代数的双量子化","authors":"Taro Kimura","doi":"10.1090/pspum/100/01762","DOIUrl":null,"url":null,"abstract":"We show that the double quantization of Seiberg-Witten spectral curve for $\\Gamma$-quiver gauge theory defines the generating current of W$(\\Gamma)$-algebra in the free field realization. We also show that the partition function is given as a correlator of the corresponding W$(\\Gamma)$-algebra, which is equivalent to the AGT relation under the gauge/quiver (spectral) duality.","PeriodicalId":384712,"journal":{"name":"Proceedings of Symposia in Pure\n Mathematics","volume":"65 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"20","resultStr":"{\"title\":\"Double quantization of Seiberg–Witten\\n geometry and W-algebras\",\"authors\":\"Taro Kimura\",\"doi\":\"10.1090/pspum/100/01762\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that the double quantization of Seiberg-Witten spectral curve for $\\\\Gamma$-quiver gauge theory defines the generating current of W$(\\\\Gamma)$-algebra in the free field realization. We also show that the partition function is given as a correlator of the corresponding W$(\\\\Gamma)$-algebra, which is equivalent to the AGT relation under the gauge/quiver (spectral) duality.\",\"PeriodicalId\":384712,\"journal\":{\"name\":\"Proceedings of Symposia in Pure\\n Mathematics\",\"volume\":\"65 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-12-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"20\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of Symposia in Pure\\n Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1090/pspum/100/01762\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of Symposia in Pure\n Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/pspum/100/01762","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 20

摘要

我们证明了$\Gamma$-颤振规范理论的Seiberg-Witten谱曲线的双量子化定义了在自由场实现中W$(\Gamma)$-代数的产生电流。我们还证明了配分函数是作为相应的W$(\Gamma)$-代数的相关器给出的，它等价于规范/颤振(谱)对偶下的AGT关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Double quantization of Seiberg–Witten geometry and W-algebras

We show that the double quantization of Seiberg-Witten spectral curve for $\Gamma$-quiver gauge theory defines the generating current of W$(\Gamma)$-algebra in the free field realization. We also show that the partition function is given as a correlator of the corresponding W$(\Gamma)$-algebra, which is equivalent to the AGT relation under the gauge/quiver (spectral) duality.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊