A precise mapping from the world-sheet integral of the AdS Virasoro-Shapiro amplitude to the energy-energy correlator in strongly coupled N=4 SYM, with explicit flat-space and first curvature correction terms.
N= 4 Super-Yang-Mills correlators at strong coupling from string theory and localization
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Bootstrap on Mellin amplitudes computes the first stringy correction to the five-point 20' correlator in N=4 SYM up to one undetermined coefficient, with flat-space limit checks and byproduct four-point results.
Localization yields all-loop leading-ε results for two-point functions in 4-2ε SYM that agree with flat-space perturbation at O(ε) and motivate a conjecture for the dimension-two operator at O(ε²).
Bootstrap using labelled f-graphs, double-triangle and triangle rules, integrated correlators, and 10D hidden symmetry uniquely fixes three-loop mixed GGOO correlators in N=4 SYM, reproducing known two-loop results and yielding new three-loop terms for the maximal determinant operator.
Localization matrix models yield resummed strong-coupling expressions for observables in N=2 theories with antisymmetric and fundamental matter, using an effective 't Hooft coupling at large N.
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Energy-Energy Correlator from the AdS Virasoro-Shapiro Amplitude
A precise mapping from the world-sheet integral of the AdS Virasoro-Shapiro amplitude to the energy-energy correlator in strongly coupled N=4 SYM, with explicit flat-space and first curvature correction terms.
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$20'$ Five-Point Function of $\mathcal{N}=4$ SYM and Stringy Corrections
Bootstrap on Mellin amplitudes computes the first stringy correction to the five-point 20' correlator in N=4 SYM up to one undetermined coefficient, with flat-space limit checks and byproduct four-point results.
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Two-point functions in $4-2\,\varepsilon$ dimensions from localization
Localization yields all-loop leading-ε results for two-point functions in 4-2ε SYM that agree with flat-space perturbation at O(ε) and motivate a conjecture for the dimension-two operator at O(ε²).
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Bootstrapping Giant Graviton Correlators
Bootstrap using labelled f-graphs, double-triangle and triangle rules, integrated correlators, and 10D hidden symmetry uniquely fixes three-loop mixed GGOO correlators in N=4 SYM, reproducing known two-loop results and yielding new three-loop terms for the maximal determinant operator.
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Strong-coupling results in (non-)conformal $\mathcal{N}=2$ theories with fundamental flavors
Localization matrix models yield resummed strong-coupling expressions for observables in N=2 theories with antisymmetric and fundamental matter, using an effective 't Hooft coupling at large N.