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Structure constants of short operators in planar $\mathcal{N}=4$ SYM theory
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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.
Forward citations
Cited by 3 Pith papers
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A universal scaling function for giant graviton OPE coefficients
In planar N=4 SYM, the large-spin OPE coefficient for two maximal giant gravitons and a twist-two operator scales as S^{d(g)}, with d(g) computed at arbitrary coupling.
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Bootstrapping $\mathcal{N} = 4$ sYM correlators using Integrability and Localization
Two-sided bounds on the Konishi OPE coefficient in planar N=4 sYM are derived at finite 't Hooft coupling by adding localization constraints to an integrability-based dispersive bootstrap.
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Probing Line Defect CFT with Mixed-Correlator Bootstrability
Using mixed-correlator bootstrability with parity and localization input, this paper produces new finite-coupling bounds on 12 OPE coefficients and a new exact BPS structure constant for the Maldacena-Wilson line defect CFT.
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