SL(3, Z) Modularity and New Cardy limits of the N=4 superconformal index
文献类型：期刊论文
| 作者 | Jejjala, Vishnu2; Lei, Yang3; van Leuven, Sam2; Li, Wei4
|
| 刊名 | JOURNAL OF HIGH ENERGY PHYSICS
 |
| 出版日期 | 2021 |
| 期号 | 11页码:47 |
| ISSN号 | 1029-8479 |
| DOI | 10.1007/JHEP11(2021)047 |
| 英文摘要 | The entropy of 1/16-th BPS AdS(5) black holes can be microscopically accounted for by the superconformal index of the N = 4 super-Yang-Mills theory. One way to compute this is through a Cardy-like limit of a formula for the index obtained in [1] using the S-transformation of the elliptic function. In this paper, we derive more general SL(3, Z) modular properties of the elliptic function. We then use these properties to obtain a three integer parameter family of generalized Cardy-like limits of the N = 4 superconformal index. From these limits, we obtain entropy formulae that have a similar form as that of the original AdS(5) black hole, up to an overall rescaling of the entropy. We interpret this both on the field theory and the gravitational side. Finally, we comment on how our work suggests a generalization of the Farey tail to four dimensions. |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/27659]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 作者单位 | 1.Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China 2.Univ Witwatersrand, Sch Phys, Mandelstam Inst Theoret Phys, NITheP, Johannesburg, South Africa 3.Univ Witwatersrand, CoE MaSS, Johannesburg, South Africa 4.Univ Chinese Acad Sci, Kavli Inst Theoret Sci KITS, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Jejjala, Vishnu,Lei, Yang,van Leuven, Sam,et al. SL(3, Z) Modularity and New Cardy limits of the N=4 superconformal index[J]. JOURNAL OF HIGH ENERGY PHYSICS,2021(11):47. |
| APA | Jejjala, Vishnu,Lei, Yang,van Leuven, Sam,&Li, Wei.(2021).SL(3, Z) Modularity and New Cardy limits of the N=4 superconformal index.JOURNAL OF HIGH ENERGY PHYSICS(11),47. |
| MLA | Jejjala, Vishnu,et al."SL(3, Z) Modularity and New Cardy limits of the N=4 superconformal index".JOURNAL OF HIGH ENERGY PHYSICS .11(2021):47. |
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来源：理论物理研究所
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