Classification of the anyon sectors of Kitaev's quantum double model
Mathematical Physics
2025-07-04 v4 Strongly Correlated Electrons
math.MP
Quantum Physics
Abstract
We give a complete classification of the anyon sectors of Kitaev's quantum double model on the infinite triangular lattice and for finite gauge group , including the non-abelian case. As conjectured, the anyon sectors of the model correspond precisely to equivalence classes of irreducible representations of the quantum double algebra of .
Keywords
Cite
@article{arxiv.2310.19661,
title = {Classification of the anyon sectors of Kitaev's quantum double model},
author = {Alex Bols and Siddharth Vadnerkar},
journal= {arXiv preprint arXiv:2310.19661},
year = {2025}
}
Comments
published version. 62 pages, 14 figures