Classification of connected \'etale algebras in modular fusion categories up to rank five
Abstract
We classify connected \'etale algebras in (possibly non-unitary) modular fusion categories B's with rank( B)5. We also comment on Lagrangian algebra, anyon condensation, and physical applications. Concretely, we prove certain spontaneous B-symmetry breaking and predict ground state degeneracies in massive renormalization group flows from non-unitary minimal models.
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