Abstract
We present a constructive method to compute the AdS Virasoro-Shapiro amplitude, order by order in AdS curvature corrections. At kth order the answer takes the form of a genus zero world-sheet integral involving weight 3k single-valued multiple polylogarithms. The coefficients in our ansatz are fixed, order by order, by requiring: crossing symmetry; the correct supergravity limit; the correct structure of poles, determined by dispersive sum rules; and the dimensions of the first few Konishi-like operators, available from integrability. We explicitly construct the first two curvature corrections. Our final answer then reproduces all localisation results and all CFT data available from integrability, to this order, and produces a wealth of new CFT data for planar \( \mathcal{N} \) = 4 SYM at strong coupling.
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Acknowledgments
We thank Julius Julius for useful discussions and especially Joao Silva for collaboration on related projects. Our work is supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 787185). LFA is also supported in part by the STFC grant ST/T000864/1.
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Alday, L.F., Hansen, T. The AdS Virasoro-Shapiro amplitude. J. High Energ. Phys. 2023, 23 (2023). https://doi.org/10.1007/JHEP10(2023)023
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DOI: https://doi.org/10.1007/JHEP10(2023)023