  We propose a method to constrain the scaling dimension of the operators of
the strongly interacting systems (SIS) using the holographic setup where the
(d+1)-dimensional black hole is used to describe the d-dimensional SIS. We
demonstrate the method in the holographic superconductor theory where the
operator is a scalar. The idea is to consider the inside as well as the outside
of the AdS black hole in which the gap equations has higher order
singularities. Then the equivalence principle requests the solution be smoothly
connected at the horizon, which turns out to give a quantized values of the
scaling dimension of the condensed operator. This is a pleasant surprise
because so far one gets the constraints on the scaling dimension only by a hard
analysis with bootstrap ansatz.

High Energy Physics - Theory