  Building on quantum Monte Carlo simulations, we study the phase diagram of a
one-parameter Hamiltonian interpolating between trivial and topological Ising
paramagnets in two dimensions, which are dual to the toric code and the double
semion. We discover an intermediate phase with stripe order which spontaneously
breaks the protecting Ising symmetry. Remarkably, we find evidence that this
intervening phase is gapless due to the incommensurability of the stripe
pattern and that it is dual to a $U(1)$ gauge theory exhibiting Cantor
deconfinement.

Strongly Correlated Electrons