Chaotic Correlation Functions with Complex Fermions

Abstract

We study correlation functions in the complex fermion SYK model. We focus, specifically, on the h = 2 mode which explicitly breaks conformal invariance and exhibits the chaotic behaviour. We explicitly compute fermion six-point function and extract the corresponding six-point OTOC which exhibits an exponential growth with maximal chaos. Following the program of Gross-Rosenhaus, this correlator contains information of the bulk cubic coupling, at the conformal point as well as perturbatively away from it. Unlike the conformal modes with high values of h, the h = 2 mode has contact interaction dominating over the planar in the large q limit.

22 pages, 7 figures, numerical calculations improved, 2 time-fold and 3 time-fold OTO correlators computed

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Cited by in corpus (1)

• SYK Model with global symmetries in the double scaling limit