English

Partition function of the Levin-Wen model

Strongly Correlated Electrons 2022-01-21 v2 High Energy Physics - Theory Quantum Physics

Abstract

Using a description of the Levin-Wen model excitations in terms of Wilson lines, we compute the degeneracy of the energy levels for any input anyon theory and for any trivalent graph embedded on any (orientable) compact surface. This result allows one to obtain the finite-size and finite-temperature partition function and to show that there are no thermal phase transitions.

Keywords

Cite

@article{arxiv.2108.13425,
  title  = {Partition function of the Levin-Wen model},
  author = {J. Vidal},
  journal= {arXiv preprint arXiv:2108.13425},
  year   = {2022}
}

Comments

7 pages, 2 figures, published version

R2 v1 2026-06-24T05:32:26.379Z