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Ribbon operators in the Semidual lattice code model (2401.13774v1)
Published 24 Jan 2024 in cond-mat.str-el, hep-th, math-ph, and math.MP
Abstract: In this work, we provide a rigorous definition of ribbon operators in the Semidual Kitaev lattice model and study their properties. These operators are essential for understanding quasi-particle excitations within topologically ordered systems. We show that the ribbon operators generate quasi-particle excitations at the ends of the ribbon and reveal themselves as irreducible representations of the Bicrossproduct quantum group $M(H)=H{\text{cop}}\lrbicross H$ or $M(H){\text{op}}$ depending on their chirality or local orientation.