2023/08/14 by Augustus Brown, Brown, Augustus, Paul Heslop +5
Physics and Astronomy · #Particle physics theoretical and experimental studies #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2308.07219
We study integrated correlators of four superconformal primaries Op with arbitrary charges p in N=4 super Yang-Mills theory (SYM). The ⟨ O2 O2 Op Op ⟩ integrated correlators can be computed by supersymmetric localisation, whereas correlators with more general charges are currently not accessible from this method and in general contain complicated multi-zeta values. Nevertheless we observe that if one sums over the contributions from all different channels in a given correlator, then all the multi-zeta values (and products of zeta's) cancel leaving only ζ(2ℓ+1) at ℓ-loops. We then propose an exact expression of such integrated correlators in the planar limit, valid for arbitrary 't Hooft coupling. The expression matches with the known exact localisation-based results for specific charges, as well as with all existing perturbative and strong-coupling results in the literature for more general charges. As an application, our result is used to determine certain 7-loop Feynman integral periods and fix previously unknown coefficients in the correlators at strong coupling.