Holographic Correlators with Bogomol'nyi-Prasad-Sommerfield Bound States in N=4 Supersymmetric Yang-Mills Theory

We compute four-point correlators in N=4 SU(N) super-Yang-Mills theory with both single and double-particle 1/2-Bogomol'nyi-Prasad-Sommerfield (BPS) operators in the regime of large 't Hooft coupling and large N. In particular, we give explicit expressions up to O(1/N^{4}) for the lightest correlator with two double-particle and two single-particle operators built out of the stress-tensor multiplet. Our derivation makes use of the general holographic prescription applied to an asymptotically AdS_{5}×S^{5} geometry that describes a coherent superposition of multigraviton operators. The final result can be written in terms of a natural generalization of the standard D functions and takes a compact form in Mellin space. The correlator we compute here is the simplest of a more general class of correlators where two inserted operators are multiparticles. These can be derived with the same approach, suggesting that the structure found here is general.