Knowledge Management System of Institute of Theoretical Physics, CAS
Goldstein, Kevin1; Jejjala, Vishnu1; Lei, Yang1,2,3; van Leuven, Sam1; Li, Wei4
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| Residues, modularity, and the Cardy limit of the 4d N=4 superconformal index | |
| Source Publication | JOURNAL OF HIGH ENERGY PHYSICS
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| Language | 英语 |
| Abstract | We compute the superconformal index of the N = 4 SU(N) Yang-Mills theory through a residue calculation. The method is similar in spirit to the Bethe Ansatz formalism, except that all poles are explicitly known, and we do not require specialization of any of the chemical potentials. Our expression for the index allows us to revisit the Cardy limit using modular properties of four-dimensional supersymmetric partition functions. We find that all residues contribute at leading order in the Cardy limit. In a specific region of flavour chemical potential space, close to the two unrefined points, in fact all residues contribute universally. These universal residues precisely agree with the entropy functions of the asymptotically AdS(5) black hole and its "twin saddle" respectively. Finally, we discuss how our formula is suited to study the implications of four-dimensional modularity for the index beyond the Cardy limit. |
| 2021 | |
| ISSN | 1029-8479 |
| Issue | 4Pages:216 |
| Cooperation Status | 国际 |
| Subject Area | Physics |
| MOST Discipline Catalogue | Physics, Particles & Fields |
| DOI | 10.1007/JHEP04(2021)216 |
| Indexed By | SCIE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.itp.ac.cn/handle/311006/27463 |
| Collection | SCI期刊论文 |
| Affiliation | 1.Univ Witwatersrand, Mandelstam Inst Theoret Phys, Sch Phys, NITheP, 1 Jan Smuts Ave, Johannesburg, South Africa 2.Univ Witwatersrand, CoE MaSS, 1 Jan Smuts Ave, Johannesburg, South Africa 3.Univ Copenhagen, Niels Bohr Inst, Blegdamsvej 17, DK-2100 Copenhagen O, Denmark 4.Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China 5.Univ Chinese Acad Sci, Kavli Inst Theoret Sci KITS, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Goldstein, Kevin,Jejjala, Vishnu,Lei, Yang,et al. Residues, modularity, and the Cardy limit of the 4d N=4 superconformal index[J]. JOURNAL OF HIGH ENERGY PHYSICS,2021(4):216. |
| APA | Goldstein, Kevin,Jejjala, Vishnu,Lei, Yang,van Leuven, Sam,&Li, Wei.(2021).Residues, modularity, and the Cardy limit of the 4d N=4 superconformal index.JOURNAL OF HIGH ENERGY PHYSICS(4),216. |
| MLA | Goldstein, Kevin,et al."Residues, modularity, and the Cardy limit of the 4d N=4 superconformal index".JOURNAL OF HIGH ENERGY PHYSICS .4(2021):216. |
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