Exact calculation of higher-point spectral correlations in dual-unitary circuits

Develop an exact method to compute higher-point spectral correlations (beyond the two-point spectral form factor) for dual-unitary Floquet circuits and rigorously establish their agreement with random-matrix-theory predictions.

Background

Beyond the two-point spectral form factor, higher-point spectral correlators probe more detailed universal structures in chaotic spectra. For dual-unitary circuits, numerical studies show random-matrix-like behaviour for these higher-point objects.

However, an exact analytical calculation analogous to the two-point SFF has not yet been obtained, leaving open whether one can rigorously match the full set of RMT predictions.