Holographic four-point functions in the (2, 0) theory

DOI10.1007/JHEP06(2018)087zbMATH Open1395.83131arXiv1712.02788OpenAlexW3101059296WikidataQ129622377 ScholiaQ129622377MaRDI QIDQ1671880

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Publication date: 7 September 2018

Published in: (Search for Journal in Brave)

Abstract: We revisit the calculation of holographic correlators for eleven-dimensional supergravity on $Ad{S}_{7}imes{S}^4$. Our methods rely entirely on symmetry and eschew detailed knowledge of the supergravity effective action. By an extension of the position space approach developed in [1, 2] for the $Ad{S}_{5}imes{S}^5$ background, we compute four-point correlators of one-half BPS operators for identical weights $k=2,3,4$. The $k=2$ case corresponds to the four-point function of the stress-tensor multiplet, which was already known, while the other two cases are new. We also translate the problem in Mellin space, where the solution of the superconformal Ward identity takes a surprisingly simple form. We formulate an algebraic problem, whose (conjecturally unique) solution corresponds to the general one-half BPS four-point function.

Full work available at URL: https://arxiv.org/abs/1712.02788

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