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  • Letter

Partition function of the Levin-Wen model

Julien Vidal*

  • Sorbonne Université, CNRS, Laboratoire de Physique Théorique de la Matière Condensée, LPTMC, F-75005 Paris, France

  • *vidal@lptmc.jussieu.fr.

Phys. Rev. B 105, L041110 – Published 20 January, 2022

DOI: https://doi.org/10.1103/PhysRevB.105.L041110

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.

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