Structure constants of short operators in planar $\mathcal{N}=4$ SYM theory

Abstract

We present an integrability-based conjecture for the three-point functions of single-trace operators in planar $\mathcal{N}=4$ super-Yang-Mills theory at finite coupling, in the case where two operators are protected. Our proposal is based on the hexagon representation for structure constants of long operators, which we complete to incorporate operators of any length using data from the TBA/QSC formalism. We perform various tests of our conjecture, at weak and strong coupling, finding agreement with the gauge theory through 5 loops for the shortest three-point function and with string theory in the classical limit.

6 pages, 4 figures, 1 appendix

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Cited by in corpus (5)

• On the spectrum and structure constants of short operators in N=4 SYM at strong coupling
• Three-point Functions in Aharony--Bergman--Jafferis--Maldacena Theory and Integrable Boundary States
• Two spinning Konishi operators at three loops
• Finite volume form factors in integrable theories
• Orthogonality of Q-Functions up to Wrapping in Planar N=4 Super Yang-Mills Theory