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Emergent Worldsheet for the AdS Virasoro-Shapiro Amplitude
Luis F Alday1, Tobias Hansen1, Joao A Silva1
1Mathematical Institute, University of Oxford, Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford, OX2 6GG, United Kingdom.
Abstract:
We construct a representation for the first anti-de Sitter curvature correction to the Virasoro-Shapiro amplitude, as an integral over the Riemann sphere. The integrand is that of the Virasoro-Shapiro amplitude in flat space, with the extra insertion of a linear combination of single-valued multiple polylogarithms of weight three. The integral representation implies an elegant, manifestly single-valued representation for the Wilson coefficients of the low-energy expansion.
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