  The entanglement renormalization flow of a (1+1) free boson is formulated as
a path integral over some auxiliary scalar fields. The resulting effective
theory for these fields amounts to the dilaton term of non-critical string
theory in two spacetime dimensions. A connection between the scalar fields in
the two theories is provided, allowing to acquire novel insights into how a
theory of gravity emerges from the entanglement structure of another one
without gravity.
