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

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A bstractWe revisit the calculation of holographic correlators for eleven-dimensional supergravity on AdS7 × S4. Our methods rely entirely on symmetry and eschew detailed knowledge of the supergravity effective action.… Click to show full abstract

A bstractWe revisit the calculation of holographic correlators for eleven-dimensional supergravity on AdS7 × S4. 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 AdS5 × S5 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.

Keywords: holographic four; four point; point functions; point; functions theory

Journal Title: Journal of High Energy Physics
Year Published: 2017

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