English

Emergent world-sheet for the AdS Virasoro-Shapiro amplitude

High Energy Physics - Theory 2023-05-08 v1

Abstract

We construct a representation for the first AdS 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.

Keywords

Cite

@article{arxiv.2305.03593,
  title  = {Emergent world-sheet for the AdS Virasoro-Shapiro amplitude},
  author = {Luis F. Alday and Tobias Hansen and Joao A. Silva},
  journal= {arXiv preprint arXiv:2305.03593},
  year   = {2023}
}

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6 pages