Abstract
We explore and exploit the relation between non-planar correlators in \( \mathcal{N} \) = 4 super-Yang-Mills, and higher-genus closed string amplitudes in type IIB string theory. By conformal field theory techniques we construct the genus-one, four-point string amplitude in AdS5 × S5 in the low-energy expansion, dual to an \( \mathcal{N} \) = 4 super-Yang-Mills correlator in the ’t Hooft limit at order 1/c2 in a strong coupling expansion. In the flat space limit, this maps onto the genus-one, four-point scattering amplitude for type II closed strings in ten dimensions. Using this approach we reproduce several results obtained via string perturbation theory. We also demonstrate a novel mechanism to fix subleading terms in the flat space limit of AdS amplitudes by using string/M-theory.
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Alday, L.F., Bissi, A. & Perlmutter, E. Genus-one string amplitudes from conformal field theory. J. High Energ. Phys. 2019, 10 (2019). https://doi.org/10.1007/JHEP06(2019)010
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DOI: https://doi.org/10.1007/JHEP06(2019)010