  We present how the thermal geometry emerges from CFT at finite temperature by
using the truncated entanglement renormalization network, the cMERA. For the
case of $2d$ CFT, the reduced geometry is the BTZ black hole or the thermal AdS
as expectation. In order to determine which spacetimes prefer to form, we
propose a cMERA description of the Hawking-Page phase transition. Our proposal
is in agreement with the picture of the recent proposed surface/state
correspondence.
