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Towards the Virasoro-Shapiro amplitude in AdS5×S5

Abl, Theresa and Heslop, Paul and Lipstein, Arthur E. (2021) 'Towards the Virasoro-Shapiro amplitude in AdS5×S5.', Journal of high energy physics., 2021 (4). p. 237.


We propose a systematic procedure for obtaining all single trace 1/2-BPS correlators in N = 4 super Yang-Mills corresponding to the four-point tree-level amplitude for type IIB string theory in AdS5 × S5. The underlying idea is to compute generalised contact Witten diagrams coming from a 10d effective field theory on AdS5 × S5 whose coefficients are fixed by the flat space Virasoro-Shapiro amplitude up to ambiguities related to commutators of the 10d covariant derivatives which require additional information such as localisation. We illustrate this procedure by computing stringy corrections to the supergravity prediction for all single trace 1/2-BPS correlators up to O(α′7), and spell out a general algorithm for extending this to any order in α′.

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Publisher statement:Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:29 March 2021
Date deposited:06 May 2021
Date of first online publication:26 April 2021
Date first made open access:06 May 2021

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