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Holographic correlators with BPS bound states in N = 4 SYM

2024/09/19 by Aprile, Francesco, Giusto, Stefano, Russo, Rodolfo
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2409.12911

Abstract

We compute 4-point correlators in N = 4 SU(N) Super-Yang-Mills with both single and double-particle 1/2-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 multi-graviton operators. The final result can be written in terms of a natural generalisation 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 multi-particles. These can be derived with the same approach, suggesting that the structure found here is general.

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