CPHT Condensed Matter Seminar
April 28 (Tuesday), 14:00, Room Jean Lascoux (CPHT)
Speaker: Chunxiao Liu (CNRS, LPS Orsay)
Title: The BF Theory of non-Abelian dihedral topological order
Abstract: Non-Abelian topological orders, which support anyon excitations, are central to quantum computing but remain difficult to realize. We show that the twisted quantum double of the dihedral group—a prototypical family of non-Abelian topological orders—can emerge via Higgsing from a parent O(2) gauge theory. This correspondence is established by matching anyon statistics with Wilson loop observables within BF theory. We further construct lattice models realizing these phases and, through renormalization group and numerical analysis, propose that they can undergo a direct transition to a U(1) Coulomb or chiral topological phase at a multicritical point with emergent O(3) symmetry.
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