\(\mathrm{AdS}_{3} \times S^3\) tree-level correlators: hidden six-dimensional conformal symmetry

DOI10.1007/JHEP10(2019)140zbMATH Open1427.81147arXiv1905.11983OpenAlexW3123462334MaRDI QIDQ2283448

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Publication date: 2 January 2020

Published in: (Search for Journal in Brave)

Abstract: We revisit the calculation of holographic correlators in $Ad{S}_3$. We develop new methods to evaluate exchange Witten diagrams, resolving some technical difficulties that prevent a straightforward application of the methods used in higher dimensions. We perform detailed calculations in the $Ad{S}_{3}imes{S}^{3}imesK3$ background. We find strong evidence that four-point tree-level correlators of KK modes of the tensor multiplets enjoy a hidden 6d conformal symmetry. The correlators can all be packaged into a single generating function, related to the 6d flat space superamplitude. This generalizes an analogous structure found in $Ad{S}_{5}imes{S}^5$ supergravity.

Full work available at URL: https://arxiv.org/abs/1905.11983

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