  The recent developments related to the black hole information paradox have
brought us a confusing object: the replica wormhole. We are trying to better
understand the object from the viewpoint of the thermo-mixed double and
spontaneous symmetry breaking. It was shown that the replica wormhole can be
regarded as a transition between different degenerate vacua, and the
corresponding gravitational partition function should be controlled by the
manifold of the degenerate vacua. We also check the wormhole partition function
in 2-dimensional Jackiw-Teitelboim gravity and show that the wormhole saddle is
indeed controlled by the dimension of the degenerate vacua. Moreover, it is
suggested that the replica wormhole geometries connecting different vacua can
be related to the measurement process of soft hair that compares different
vacuum configurations.
