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  • Holographic correlators in ...
    Giusto, Stefano; Russo, Rodolfo; Tyukov, Alexander; Wen, Congkao

    The journal of high energy physics, 09/2019, Letnik: 2019, Številka: 9
    Journal Article

    A bstract We present a formula for the holographic 4-point correlators in AdS 3 × 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 AdS 3 × 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.