  Black hole is well known to be a fast scrambler, responsible for physics of
quantum chaos in dual holography. Recently, the Euclidean worm hole has been
proposed to play a central role in the chaotic behavior of the spectral form
factor. Furthermore, this phenomena was reinterpreted based on an effective
field theory approach for quantum chaos. Since the graded nonlinear
$\sigma-$model approach can describe not only the Wigner-Dyson level statistics
but also its Poisson distribution, it is natural to ask whether the dual
holography can touch the Poisson regime beyond the quantum chaos. In this
study, we investigate disordered strongly coupled conformal field theories in
the large central-charge limit. An idea is to consider a quenched average for
metric fluctuations and to take into account the renormalization group flow of
the metric-tensor distribution function from the UV to the IR boundary. Here,
renormalization effects at a given disorder configuration are described by the
conventional dual holography. We uncover that the renormalized distribution
function shows a power-law behavior universally, interpreted as an infinite
randomness fixed point.
