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Holographic correlators in AdS3 without Witten diagrams

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Abstract We present a formula for the holographic 4-point correlators in AdS3 × S 3 involving four single-trace operators of dimension k, k, l, l. As an input we use… Click to show full abstract

Abstract We present a formula for the holographic 4-point correlators in AdS3 × S 3 involving four single-trace operators of dimension k, k, l, l. As an input we use the super-gravity results for the Heavy-Heavy-Light-Light correlators that can be derived by studying the linear fluctuations around known asymptotically AdS3 × S 3 geometries. When the operators of dimension k and l are in the same multiplet there are contributions due to the exchange of single-trace operators in the t and u-channels, which are not captured by the approach mentioned above. However by rewriting the s-channel results in Mellin space we obtain a compact expression for the s-channel contribution that makes it possible to conjecture a formula for the complete result. We discuss some consistency checks that our proposal meets.

Keywords: witten diagrams; ads3 without; correlators ads3; holographic correlators; without witten

Journal Title: Journal of High Energy Physics
Year Published: 2019

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