Structure Constants and Integrable Bootstrap in Planar N=4 SYM Theory

Abstract

We introduce a non-perturbative framework for computing structure constants of single-trace operators in the N=4 SYM theory at large N. Our approach features new vertices, with hexagonal shape, that can be patched together into three- and possibly higher-point correlators. These newborn hexagons are more elementary and easier to deal with than the three-point functions. Moreover, they can be entirely constructed using integrability, by means of a suitable bootstrap program. In this letter, we present our main results and conjectures for these vertices, and match their predictions for the three-point functions with both weak and strong coupling data available in the literature.

13 pages + several appendices

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Cited by in corpus (7)

• TASI lectures on AdS/CFT
• On the Non-commutativity of Closed String Zero Modes
• Structure Constants of Defect Changing Operators on the 1/2 BPS Wilson Loop
• Introduction to the Spectrum of N=4 SYM and the Quantum Spectral Curve
• Introduction to Integrability and One-point Functions in $\mathcal{N}=4$ SYM and its Defect Cousin
• Lectures on Three-point Functions in N=4 Supersymmetric Yang-Mills Theory
• Half-BPS half-BPS twist two at four loops in N=4 SYM