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We classify connected \'etale algebras in (possibly non-unitary) modularfusion categories $\mathcal B$'s with $\text{rank}(\mathcal B)\le5$. We alsocomment on Lagrangian algebra, anyon condensation, and physical applications.Concretely, we prove certain spontaneous $\mathcal B$-symmetry breaking andpredict ground state degeneracies in massive renormalization group flows fromnon-unitary minimal models.

Classification of connected \'etale algebras in modular fusion categories up to rank five