One-loop amplitudes in \(\mathrm{AdS}_5 \times S^5\) supergravity from \(\mathcal{N} = 4\) SYM at strong coupling
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Publication:2191759
DOI10.1007/JHEP03(2020)190zbMATH Open1435.83192arXiv1912.01047MaRDI QIDQ2191759
Author name not available (Why is that?)
Publication date: 25 June 2020
Published in: (Search for Journal in Brave)
Abstract: We explore the structure of maximally supersymmetric Yang-Mills correlators in the supergravity regime. We develop an algorithm to construct one-loop supergravity amplitudes of four arbitrary Kaluza-Klein supergravity states, properly dualised into single-particle operators. We illustrate this algorithm by constructing new explicit results for multi-channel correlation functions, and we show that correlators which are degenerate at tree level become distinguishable at one-loop. The algorithm contains a number of subtle features which have not appeared until now. In particular, we address the presence of non-trivial low twist protected operators in the OPE that are crucial for obtaining the correct one-loop results. Finally, we outline how the differential operators and , which play a role in the context of the hidden 10d conformal symmetry at tree level, can be used to reorganise our one-loop correlators.
Full work available at URL: https://arxiv.org/abs/1912.01047
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