Kaluza-Klein five-point functions from AdS(5)xS(5) supergravity

We continue to explore the bootstrap approach to five-point correlation functions for IIB supergravity on AdS(5) x S-5. Building on the result of [1], we develop an improved algorithm that allows us to more efficiently compute correlators of higher Kaluza-Klein modes. The new method uses only factorization and a superconformal twist, and is entirely within Mellin space where the analytic structure of holographic correlators is simpler. Using this method, we obtain in a closed form all five-point functions of the form & LANGBRAC;pp222 & rang;, extending the earlier result for p = 2. As a byproduct of our analysis, we also obtain explicit results for spinning four-point functions of higher Kaluza-Klein modes.

Automated summary

This paper presents an improved algorithm for computing higher Kaluza-Klein mode correlators using factorization and a superconformal twist. By working entirely within Mellin space, the analytic structure of the holographic correlators becomes simpler. As a result, closed form expressions for all five-point functions of the form & LANGBRAC;pp222 & rang; are obtained, extending the previous result for p=2. In addition, explicit results for spinning four-point functions of higher Kaluza-Klein modes are also obtained as a byproduct of the analysis.