| 题名 | The Resurgent Structure of Quantum Knot Invariants |
| 作者 | |
| 通讯作者 | Gu，Jie |
| 发表日期 | 2021-08-01
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| DOI | |
| 发表期刊 | |
| ISSN | 0010-3616
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| EISSN | 1432-0916
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| 卷号 | 386期号:1页码:469-493 |
| 摘要 | The asymptotic expansion of quantum knot invariants in complex Chern–Simons theory gives rise to factorially divergent formal power series. We conjecture that these series are resurgent functions whose Stokes automorphism is given by a pair of matrices of q-series with integer coefficients, which are determined explicitly by the fundamental solutions of a pair of linear q-difference equations. We further conjecture that for a hyperbolic knot, a distinguished entry of those matrices equals to the Dimofte–Gaiotto–Gukov 3D-index, and thus is given by a counting of BPS states. We illustrate our conjectures explicitly by matching theoretically and numerically computed integers for the cases of the 4 and the 5 knots. |
| 相关链接 | [Scopus记录] |
| 收录类别 | |
| 语种 | 英语
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| 学校署名 | 第一
|
| WOS记录号 | WOS:000659004800002
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| ESI学科分类 | PHYSICS
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| Scopus记录号 | 2-s2.0-85107772403
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| 来源库 | Scopus
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| 引用统计 |
被引频次[WOS]：17
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| 成果类型 | 期刊论文 |
| 条目标识符 | http://sustech.caswiz.com/handle/2SGJ60CL/241942 |
| 专题 | 理学院_数学系 深圳国际数学中心（杰曼诺夫数学中心）（筹） |
| 作者单位 | 1.International Center for Mathematics,Department of Mathematics,Southern University of Science and Technology,Shenzhen,China 2.Département de Physique Théorique,Université de Genève,Geneva 4,1211,Switzerland 3.Section de Mathématiques et Département de Physique Théorique,Université de Genève,Geneva 4,1211,Switzerland |
| 第一作者单位 | 数学系 |
| 第一作者的第一单位 | 数学系 |
| 推荐引用方式 GB/T 7714 |
Garoufalidis，Stavros,Gu，Jie,Mariño，Marcos. The Resurgent Structure of Quantum Knot Invariants[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS,2021,386(1):469-493.
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| APA |
Garoufalidis，Stavros,Gu，Jie,&Mariño，Marcos.(2021).The Resurgent Structure of Quantum Knot Invariants.COMMUNICATIONS IN MATHEMATICAL PHYSICS,386(1),469-493.
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| MLA |
Garoufalidis，Stavros,et al."The Resurgent Structure of Quantum Knot Invariants".COMMUNICATIONS IN MATHEMATICAL PHYSICS 386.1(2021):469-493.
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| 条目包含的文件 | 条目无相关文件。 | |||||
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