All tree-level correlators in \(\mathrm{AdS}_{5} \times S_{5}\) supergravity: hidden ten-dimensional conformal symmetry
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Publication:667296
DOI10.1007/JHEP01(2019)196zbMATH Open1409.83205arXiv1809.09173MaRDI QIDQ667296
Author name not available (Why is that?)
Publication date: 12 March 2019
Published in: (Search for Journal in Brave)
Abstract: We study correlators of four protected (half-BPS) operators in strongly coupled supersymmetric Yang-Mills theory. These are dual to tree-level supergravity amplitudes on AdSS for various spherical harmonics on the five-sphere. We use conformal field theory methods, in particular a recently obtained Lorentzian inversion formula, to analytically bootstrap these correlators. The extracted double-trace anomalous dimensions confirm a simple pattern recently conjectured by Aprile, Drummond, Heslop and Paul. We explain this pattern by an unexpected ten-dimensional conformal symmetry which appears to be enjoyed by tree-level supergravity (or a suitable subsector of it). The symmetry combines all spherical harmonics into a single ten-dimensional object, and yields compact expressions for the leading logarithmic part of any half-BPS correlator at each loop order.
Full work available at URL: https://arxiv.org/abs/1809.09173
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