  Recent studies of the fluctuations of an open string in AdS space show some
pieces of evidence that the string with a worldsheet horizon could be a dual
description of SYK model, as they saturate universal chaos bound and share the
same symmetry. An open string hangs from the AdS boundary to the horizon of
black brane could be dual to a 0+1 dimensional boundary state. To be specific,
we find that the fluctuation of the string in charged BTZ black hole has an
asymptotic scaling symmetry, and its Euclidean IR fixed point is governed by
the quadratic order of Schwarzian action, which is just the low energy
effective theory of the SYK model. Considering the open string worldsheet also
has natural reparametrization symmetry, we conjecture that the action of the
string worldsheet is a dual description of SYK state.
