A universal scaling function for giant graviton OPE coefficients

2026/07/23 by Miao He, Yunfeng Jiang
#hep-th

paper · pdf

Abstract

We consider the large spin limit S→∞ of the OPE coefficient for two maximal giant gravitons and a spinning operator with finite twist in planar N=4 super-Yang-Mills theory. Up to an overall normalization factor, this OPE coefficient exhibits a power-law scaling of the form S^d(g). We provide strong evidence that the exponent d(g) is free from finite size corrections. Consequently, the all-loop asymptotic expression for the OPE coefficient can be used to determine d(g) exactly. We develop a systematic method to compute the scaling function d(g) for arbitrary values of the 't Hooft coupling g. At weak coupling, our result agrees perfectly with the available field-theoretic results up to three-loop order. At strong coupling, we present the first three orders as concrete predictions. We further provide the finite-coupling result and show that it interpolates smoothly between the weak- and strong-coupling regimes.

Related

• Giant Correlators at Quantum Level
• The Giant Graviton Expansion
• All Giant Graviton Two-Point Functions at Two-Loops
• Leading Giant graviton expansion of Schur correlators in large representations
• Universality of giant graviton correlators