• Corpus ID: 221970172

# Exchange and exclusion in the non-abelian anyon gas

@article{Lundholm2020ExchangeAE,
title={Exchange and exclusion in the non-abelian anyon gas},
author={Douglas Lundholm and Viktor Qvarfordt},
journal={arXiv: Mathematical Physics},
year={2020}
}
• Published 26 September 2020
• Mathematics
• arXiv: Mathematical Physics
We review and develop the many-body spectral theory of ideal anyons, i.e. identical quantum particles in the plane whose exchange rules are governed by unitary representations of the braid group on $N$ strands. Allowing for arbitrary rank (dependent on $N$) and non-abelian representations, and letting $N \to \infty$, this defines the ideal non-abelian many-anyon gas. We compute exchange operators and phases for a common and wide class of representations defined by fusion algebras, including the…
5 Citations

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