Gravitational S-matrix from CFT dispersion relations
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Publication:1712296
DOI10.1007/JHEP12(2018)017zbMATH Open1405.81114arXiv1711.02031WikidataQ128744923 ScholiaQ128744923MaRDI QIDQ1712296
Author name not available (Why is that?)
Publication date: 21 January 2019
Published in: (Search for Journal in Brave)
Abstract: We analyse the double-discontinuities of the four-point correlator of the stress-tensor multiplet in N=4 SYM at large t' Hooft coupling and at order , as a way to access one-loop effects in the dual supergravity theory. From these singularities we extract CFT-data by using two inversion procedures: one based on a recently proposed Froissart-Gribov inversion integral, and the other based on large spin perturbation theory. Both procedures lead to the same results and are shown to be equivalent more generally. Our computation parallels the standard S-matrix reconstruction via dispersion relations. In a suitable limit, the result of the conformal field theory calculation is compared with the one-loop graviton scattering amplitude in ten-dimensional IIB supergravity in flat space, finding perfect agreement.
Full work available at URL: https://arxiv.org/abs/1711.02031
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