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arXiv · 2401.13774

Ribbon operators in the Semidual lattice code model

Fred Soglohu·Prince K. Osei·Abdulmajid Osumanu
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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.

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Fred Soglohu, Prince K. Osei, Abdulmajid Osumanu. 2024-01-24. Ribbon operators in the Semidual lattice code model. https://arxiv.org/abs/2401.13774

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