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Holographic correlators in AdS3 without Witten diagrams
oleh: Stefano Giusto, Rodolfo Russo, Alexander Tyukov, Congkao Wen
| Format: | Article |
|---|---|
| Diterbitkan: | SpringerOpen 2019-09-01 |
Deskripsi
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.