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In this letter we study how the exact non-perturbative integrability methods in 4D N=4 Super-Yang-Mills can work efficiently together with the numerical conformal bootstrap techniques to go beyond the spectral observables and access previously unreachable quantities such as correlation functions at finite coupling.
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S. Giombi, R. Roiban, and A. A. Tseytlin, Half-BPS Wilson loop and AdS 2 /CFT 1 , Nucl. Phys. B922
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