SYK Correlators for All Energies

Understand

The Sachdev-Ye-Kitaev (SYK) model, a theory of N Majorana fermions with q-body interactions, becomes in the large q limit a conformally-broken Liouville field theory.

• Taking this limit preserves many interesting properties of the model, yet makes the theory as a whole much more tractable.
• Accordingly, we produce novel expressions for the two and four-point correlators at arbitrary temperature and find the surprising result they take a universal closed form.
• We note that these expressions correctly match onto and interpolate between previously-obtained low-energy results and simple high-energy perturbative checks.