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• W2766707216 abstract "Large $N$ melonic theories are characterized by two-point function Feynman diagrams built exclusively out of melons. This leads to conformal invariance at strong coupling, four-point function diagrams that are exclusively ladders, and higher-point functions that are built out of four-point functions joined together. We uncover an incredibly useful property of these theories: the six-point function, or equivalently, the three-point function of the primary $O(N)$ invariant bilinears, regarded as an analytic function of the operator dimensions, fully determines all correlation functions, to leading nontrivial order in $1/N$, through simple Feynman-like rules. The result is applicable to any theory, not necessarily melonic, in which higher-point correlators are built out of four-point functions. We explicitly calculate the bilinear three-point function for $q$-body SYK, at any $q$. This leads to the bilinear four-point function, as well as all higher-point functions, expressed in terms of higher-point conformal blocks, which we discuss. We find universality of correlators of operators of large dimension, which we simplify through a saddle point analysis. We comment on the implications for the AdS dual of SYK." @default.
• W2766707216 created "2017-11-10" @default.
• W2766707216 creator A5053415212 @default.
• W2766707216 creator A5065065990 @default.
• W2766707216 date "2017-12-01" @default.
• W2766707216 modified "2023-09-27" @default.
• W2766707216 title "All point correlation functions in SYK" @default.
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• W2766707216 doi "https://doi.org/10.1007/jhep12(2017)148" @default.
• W2766707216 hasPublicationYear "2017" @default.
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