Abstract
We bootstrap one-loop string corrections to the four-point function of half-BPS operators in a 4d \( \mathcal{N} \) = 2 SCFT with flavour group SO(8), dual to gluon scattering at genus one on AdS5×S3. We identify an 8-dimensional organising principle which governs the spectrum of double-trace anomalous dimensions, valid to all orders in the string length. This has precise implications for the structure of one-loop Mellin amplitudes, which we explicitly compute for the first three orders beyond the field-theory limit. We also consider the corresponding position space representation, which is entirely determined by the square of a certain differential operator acting on a simpler “pre-correlator”. Finally, we show that the flat-space limit of the Mellin amplitudes exactly matches the logarithmic terms of the genus-one amplitude in 8-dimensional flat space, which we compute via a partial-wave analysis.
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Acknowledgments
We want to thank Ross Glew for initial collaboration on this project, and Yu-tin Huang, Hikaru Kawai, and Piotr Tourkine for helpful discussions. We are also grateful to Francesco Aprile and Xinan Zhou for comments on the draft. MS would like to thank the ICISE institute in Quy Nhon for hospitality during the early stages of this project. HP acknowledges support from the ERC Starting Grant 853507, and from the FWO grant “G094523N — Holografie en Supersymmetrische Lokalisatie.” MS is supported by the Ministry of Science and Technology (MOST) through the grant 110-2112-M-002-006-.
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Paul, H., Santagata, M. Genus-one open string amplitudes on AdS5×S3 from CFT. J. High Energ. Phys. 2023, 57 (2023). https://doi.org/10.1007/JHEP12(2023)057
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DOI: https://doi.org/10.1007/JHEP12(2023)057