Abstract
We continue to explore the bootstrap approach to five-point correlation functions for IIB supergravity on AdS5 × S5. Building on the result of [1], we develop an improved algorithm that allows us to more efficiently compute correlators of higher Kaluza-Klein modes. The new method uses only factorization and a superconformal twist, and is entirely within Mellin space where the analytic structure of holographic correlators is simpler. Using this method, we obtain in a closed form all five-point functions of the form 〈pp222〉, extending the earlier result for p = 2. As a byproduct of our analysis, we also obtain explicit results for spinning four-point functions of higher Kaluza-Klein modes.
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Acknowledgments
V.G. was supported by Simons Foundation grants #488637 (Simons collaboration on the non-perturbative bootstrap), FAPESP grant 2015/14796- 7, by the Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior - Brasil (CAPES) - Finance Code 001 and Fundacao para a Ciencia e Tecnologia (FCT) under the grant CEECIND/03356/2022. Centro de Fisica do Porto is partially funded by Fundacao para a Ciencia e Tecnologia (FCT) under the grant UID04650-FCUP. The work of C.M. has been supported in part by Istituto Nazionale di Fisica Nucleare (INFN) through the “Gauge and String Theory” (GAST) research project. X.Z. is supported by funds from University of Chinese Academy of Sciences (UCAS), funds from the Kavli Institute for Theoretical Sciences (KITS), the Fundamental Research Funds for the Central Universities, and the NSFC Grant No. 12275273. The work of X.Z. carried out at Princeton was supported in part by the Simons Foundation Grant No. 488653. JVB is funded by FCT with fellowship DFA/BD/5354/2020, co-funded by Norte Portugal Regional Operational Programme (NORTE 2020), under the PORTUGAL 2020 Partnership Agreement, through the European Social Fund (ESF).
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Gonçalves, V., Meneghelli, C., Pereira, R. et al. Kaluza-Klein five-point functions from AdS5×S5 supergravity. J. High Energ. Phys. 2023, 67 (2023). https://doi.org/10.1007/JHEP08(2023)067
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DOI: https://doi.org/10.1007/JHEP08(2023)067