Institutional Repository of Radio Astronomy Research Laboratory
| Generalized monodromy method in gauge/gravity duality | |
Hou, Yuanpeng1,2,3
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| 2022-07-14 | |
| Source Publication | SCIENTIFIC REPORTS
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| ISSN | 2045-2322 |
| Volume | 12Issue:1Pages:11988 |
| Contribution Rank | 1 |
| Abstract | The method of monodromy is an important tool for computing Virasoro conformal blocks in a two-dimensional Conformal Field Theory (2d CFT) at large central charge and external dimensions. In deriving the form of the monodromy problem, which defines the method, one needs to insert a degenerate operator, usually a level-two operator, into the corresponding correlation function. It can be observed that the choice of which degenerate operator to insert is arbitrary, and they shall reveal the same physical principles underlying the method. In this paper, we exploit this freedom and generalize the method of monodromy by inserting higher-level degenerate operators. We illustrate the case with a level-three operator, and derive the corresponding form of the monodromy problem. We solve the monodromy problem perturbatively and numerically; and check that it agrees with the standard monodromy method, despite the fact that the two versions of the monodromy problem do not seem to be related in any obvious way. The forms corresponding to other higher-level degenerate operators are also discussed. We explain the physical origin of the coincidence and discuss its implication from a mathematical perspective. |
| DOI | 10.1038/s41598-022-16054-0 |
| Indexed By | SCI |
| Language | 英语 |
| WOS Keyword | BLACK-HOLES ; GRAVITY |
| Funding Project | UCAS Young Talent Nurture and Support Grant[E0EG4302X2] ; National Key R&D Program of China[2018YFA0404602] |
| WOS Research Area | Science & Technology - Other Topics |
| WOS Subject | Multidisciplinary Sciences |
| WOS ID | WOS:000825428500034 |
| Publisher | NATURE PORTFOLIO |
| Funding Organization | UCAS Young Talent Nurture and Support Grant ; National Key R&D Program of China |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.xao.ac.cn/handle/45760611-7/4834 |
| Collection | 射电天文研究室_星系宇宙学研究团组 |
| Corresponding Author | Hou, Yuanpeng |
| Affiliation | 1.Chinese Acad Sci, Xinjiang Astron Observ, 150 Sci 1 St, Urumqi 830011, Peoples R China 2.Univ Chinese Acad Sci, Kavli Inst Theoret Sci KITS, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Astron & Space Sci, Beijing 100049, Peoples R China |
| First Author Affilication | Xinjiang Astronomical Observatory, Chinese Academy of Sciences |
| Corresponding Author Affilication | Xinjiang Astronomical Observatory, Chinese Academy of Sciences |
| Recommended Citation GB/T 7714 | Hou, Yuanpeng. Generalized monodromy method in gauge/gravity duality[J]. SCIENTIFIC REPORTS,2022,12(1):11988. |
| APA | Hou, Yuanpeng.(2022).Generalized monodromy method in gauge/gravity duality.SCIENTIFIC REPORTS,12(1),11988. |
| MLA | Hou, Yuanpeng."Generalized monodromy method in gauge/gravity duality".SCIENTIFIC REPORTS 12.1(2022):11988. |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| Hou-2022-Generalized（3156KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Application Full Text | |
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