Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
173 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
46 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

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.

Summary

We haven't generated a summary for this paper yet.