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<p>We study the structure constants of two conformal primary operators and one spinning operator in planar 𝒩 = 4 Super-Yang-Mills theory using the hexagon formalism. By analytically continuing in the spin, we derive a formula for computing these structure constants at any coupling in the small-spin limit, up to a normalization factor. This formula allows us to explore their analytical properties at strong coupling. In this regime, using classical string calculations and a suitable ansatz, we extend our analysis to finite-spin operators, verifying recent two-loop results for structure constants in string theory and generalizing them to operators with arbitrary R-charges.</p>

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Exploring structure constants in planar 𝒩 = 4 SYM: from small spin to strong coupling

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  • 发表日期：

    2025年12月16日

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  • Benjamin Basso,
  • Alessandro Georgoudis

摘要

We study the structure constants of two conformal primary operators and one spinning operator in planar 𝒩 = 4 Super-Yang-Mills theory using the hexagon formalism. By analytically continuing in the spin, we derive a formula for computing these structure constants at any coupling in the small-spin limit, up to a normalization factor. This formula allows us to explore their analytical properties at strong coupling. In this regime, using classical string calculations and a suitable ansatz, we extend our analysis to finite-spin operators, verifying recent two-loop results for structure constants in string theory and generalizing them to operators with arbitrary R-charges.