Eigenvalue instantons in the spectral form factor of random matrix model

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The non-perturbative correction to the SFF is an interesting problem in its own right,

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seen that the ramp-plateau transition of the SFF of GUE matrix model can be thought of

as a kind of phase transition induced by the eigenvalue instantons. It would be interesting

to study the non-perturbative correction in other ensembles, such as GOE and GSE, and

see if the above picture of phase transition applies to other models as well. The saddle

point analysis for the SFF of GOE and GSE might be tractable, as we did for GUE in

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