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

Abstract

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/N4) 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 AdS5×S5 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. Published by the American Physical Society 2025