Abstract
A few years ago it was shown that the superconformal index of the N=4 supersymmetric SU(N) Yang-Mills theory in the large N limit matches with the entropy of 1/16-supersymmetric black holes in type IIB string theory on AdS5×S5. In some cases, an even more detailed match between the two sides is possible. When the two angular momentum chemical potentials in the index are equal, the superconformal index can be written as a discrete sum of Bethe ansatz solutions, and it was shown that specific terms in this sum are in a one-to-one correspondence to stable black hole solutions, and that the matching can be extended to nonperturbative contributions from wrapped D3-branes. A Bethe ansatz approach to computing the superconformal index exists also when the ratio of the angular momentum chemical potentials is any rational number, but in those cases it involves a sum over a very large number of terms (growing exponentially with N). Benini et al. showed that a specific one of these terms matches with the black hole, but the role of the other terms is not clear. In this paper we analyze some of the additional contributions to the index in the Bethe ansatz approach, and we find that their matching to the gravity side is much more complicated than in the case of equal chemical potentials. In particular, we find some contributions that are larger than the one that was found to match the black holes, in which case they must cancel with other large contributions. We give some evidence that cancellations of this type are possible, but we leave a full understanding of how they work to the future.
| Original language | English |
|---|---|
| Article number | 085015 |
| Journal | Physical Review D |
| Volume | 109 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 15 Apr 2024 |
Bibliographical note
We would like to thank Francesco Benini for useful discussions. This work was supported in part by an Israel Science Foundation (ISF) center for excellence grant (Grant No. 2289/18), by ISF Grant No. 2159/22, by Simons Foundation Grant No. 994296 (Simons Collaboration on Confinement and QCD Strings), by Grant No. 2018068 from the United States-Israel Binational Science Foundation (BSF), by the Minerva Foundation with funding from the Federal German Ministry for Education and Research, by the German Research Foundation through a German-Israeli Project Cooperation (DIP) grant “Holography and the Swampland,” and by a research grant from Martin Eisenstein. O. A. is the Samuel Sebba Professorial Chair of Pure and Applied Physics. O. M. is supported by the ERC-COG Grant No. NP-QFT 864583 “Nonperturbative dynamics of quantum fields: from new deconfined phases of matter to quantum black holes,” by the MUR-FARE2020 Grant No. R20E8NR3HX “The Emergence of Quantum Gravity from Strong Coupling Dynamics.” O. M. is also partially supported by the INFN “Iniziativa Specifica GAST.”Publisher Copyright:
© 2024 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics