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arXiv · 1712.02788

Holographic Four-Point Functions in the (2, 0) Theory

Leonardo Rastelli·Xinan Zhou
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Abstract

We revisit the calculation of holographic correlators for eleven-dimensional supergravity on $AdS_7\times S^4$. 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 $AdS_5\times S^5$ 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.

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Leonardo Rastelli, Xinan Zhou. 2018-06-18. Holographic Four-Point Functions in the (2, 0) Theory. https://doi.org/10.1007/jhep06(2018)087

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