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arXiv · 2209.06223

AdS Virasoro-Shapiro from single-valued periods

Luis F. Alday·Tobias Hansen·Joao A. Silva
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Abstract

We determine the full $1/\sqrt{\lambda}$ correction to the flat-space Wilson coefficients which enter the AdS Virasoro-Shapiro amplitude in $\mathcal{N}=4$ SYM theory at strong coupling. The assumption that the Wilson coefficients are in the ring of single-valued multiple zeta values, as expected for closed string amplitudes, is surprisingly powerful and leads to a unique solution to the dispersive sum rules relating Wilson coefficients and OPE data obtained in [1]. The corresponding OPE data fully agrees with and extends the results from integrability. The Wilson coefficients to order $1/\sqrt{\lambda}$ can be summed into an expression whose structure of poles and residues generalises that of the Virasoro-Shapiro amplitude in flat space.

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Luis F. Alday, Tobias Hansen, Joao A. Silva. 2022-09-13. AdS Virasoro-Shapiro from single-valued periods. https://doi.org/10.1007/jhep12(2022)010

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