SL(3, Z) Modularity and New Cardy limits of the N=4 superconformal index

doi:10.1007/JHEP11(2021)047

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	SL(3, Z) Modularity and New Cardy limits of the N=4 superconformal index
	Jejjala, Vishnu 2; Lei, Yang 3; van Leuven, Sam 2; Li, Wei 4
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	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
内容类型	期刊论文
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.